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href="/wiki/Discrete-time_dynamical_system" class="mw-redirect" title="Discrete-time dynamical system">evolution function</a>) that exhibits some sort of <a href="/wiki/Chaotic_behavior" class="mw-redirect" title="Chaotic behavior">chaotic behavior</a>. Maps may be parameterized by a discrete-time or a continuous-time parameter. Discrete maps usually take the form of <a href="/wiki/Iterated_function" title="Iterated function">iterated functions</a>. Chaotic maps often occur in the study of <a href="/wiki/Dynamical_system" title="Dynamical system">dynamical systems</a>. </p><p>Chaotic maps and <a href="/wiki/Iterated_function" title="Iterated function">iterated functions</a> often generate <a href="/wiki/Fractals" class="mw-redirect" title="Fractals">fractals</a>. Some fractals are studied as objects themselves, as <a href="/wiki/Set_(mathematics)" title="Set (mathematics)">sets</a> rather than in terms of the maps that generate them. This is often because there are several different iterative procedures that generate the same fractal. See also <a href="/wiki/Universality_(dynamical_systems)" title="Universality (dynamical systems)">Universality (dynamical systems)</a>. </p> <div class="mw-heading mw-heading2"><h2 id="List_of_chaotic_maps">List of chaotic maps</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_chaotic_maps&action=edit&section=1" title="Edit section: List of chaotic maps"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <table class="wikitable sortable" border="1"> <tbody><tr> <th>Map</th> <th>Time domain</th> <th>Space domain</th> <th>Number of space dimensions</th> <th>Number of parameters</th> <th>Also known as </th></tr> <tr> <td><a href="/wiki/Cellular_neural_network" title="Cellular neural network">3-cells CNN system</a></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=2D_Lorenz_system&action=edit&redlink=1" class="new" title="2D Lorenz system (page does not exist)">2D Lorenz system</a><sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td>1</td> <td><a href="/wiki/Euler_method" title="Euler method">Euler method</a> approximation to (non-chaotic) ODE. </td></tr> <tr> <td><a href="/w/index.php?title=2D_Rational_chaotic_map&action=edit&redlink=1" class="new" title="2D Rational chaotic map (page does not exist)">2D Rational chaotic map</a><sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>rational</td> <td>2</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=ACT_chaotic_attractor&action=edit&redlink=1" class="new" title="ACT chaotic attractor (page does not exist)">ACT chaotic attractor </a><sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Aizawa_chaotic_attractor&action=edit&redlink=1" class="new" title="Aizawa chaotic attractor (page does not exist)">Aizawa chaotic attractor</a><sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>5</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Arneodo_chaotic_system&action=edit&redlink=1" class="new" title="Arneodo chaotic system (page does not exist)">Arneodo chaotic system</a><sup id="cite_ref-5" class="reference"><a href="#cite_note-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Arnold%27s_cat_map" title="Arnold's cat map">Arnold's cat map</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td>0</td> <td> </td></tr> <tr> <td><a href="/wiki/Baker%27s_map" title="Baker's map">Baker's map</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td>0</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Basin_chaotic_map&action=edit&redlink=1" class="new" title="Basin chaotic map (page does not exist)">Basin chaotic map</a><sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Beta_Chaotic_Map&action=edit&redlink=1" class="new" title="Beta Chaotic Map (page does not exist)">Beta Chaotic Map</a><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup></td> <td></td> <td></td> <td></td> <td>12</td> <td> </td></tr> <tr> <td><a href="/wiki/Bogdanov_map" title="Bogdanov map">Bogdanov map</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td>3</td> <td> </td></tr> <tr> <td><a href="/wiki/Brusselator" title="Brusselator">Brusselator</a></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Burke-Shaw_chaotic_attractor&action=edit&redlink=1" class="new" title="Burke-Shaw chaotic attractor (page does not exist)">Burke-Shaw chaotic attractor</a><sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Chen_chaotic_attractor&action=edit&redlink=1" class="new" title="Chen chaotic attractor (page does not exist)">Chen chaotic attractor</a><sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>3</td> <td>Not topologically conjugate to the Lorenz attractor. </td></tr> <tr> <td><a href="/w/index.php?title=Chen-Celikovsky_system&action=edit&redlink=1" class="new" title="Chen-Celikovsky system (page does not exist)">Chen-Celikovsky system</a><sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td>"Generalized Lorenz canonical form of chaotic systems" </td></tr> <tr> <td><a href="/w/index.php?title=Chen-LU_system&action=edit&redlink=1" class="new" title="Chen-LU system (page does not exist)">Chen-LU system</a><sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>3</td> <td>Interpolates between Lorenz-like and Chen-like behavior. </td></tr> <tr> <td><a href="/w/index.php?title=Chen-Lee_system&action=edit&redlink=1" class="new" title="Chen-Lee system (page does not exist)">Chen-Lee system</a></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Chossat-Golubitsky_symmetry_map&action=edit&redlink=1" class="new" title="Chossat-Golubitsky symmetry map (page does not exist)">Chossat-Golubitsky symmetry map</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Chua_circuit" class="mw-redirect" title="Chua circuit">Chua circuit</a><sup id="cite_ref-12" class="reference"><a href="#cite_note-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>3</td> <td> </td></tr> <tr> <td><a href="/wiki/Circle_map" class="mw-redirect" title="Circle map">Circle map</a></td> <td>discrete</td> <td>real</td> <td>1</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/wiki/Complex_quadratic_polynomial#Map" title="Complex quadratic polynomial">Complex quadratic map</a></td> <td>discrete</td> <td>complex</td> <td>1</td> <td>1</td> <td>gives rise to the <a href="/wiki/Mandelbrot_set" title="Mandelbrot set">Mandelbrot set</a> </td></tr> <tr> <td><a href="/wiki/Complex_squaring_map" title="Complex squaring map">Complex squaring map</a></td> <td>discrete</td> <td>complex</td> <td>1</td> <td>0</td> <td>acts on the <a href="/wiki/Julia_set" title="Julia set">Julia set</a> for the squaring map. </td></tr> <tr> <td><a href="/w/index.php?title=Complex_cubic_polynomial&action=edit&redlink=1" class="new" title="Complex cubic polynomial (page does not exist)">Complex cubic map</a></td> <td>discrete</td> <td>complex</td> <td>1</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Clifford_fractal_map&action=edit&redlink=1" class="new" title="Clifford fractal map (page does not exist)">Clifford fractal map</a><sup id="cite_ref-13" class="reference"><a href="#cite_note-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td>4</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Degenerate_Double_Rotor_map&action=edit&redlink=1" class="new" title="Degenerate Double Rotor map (page does not exist)">Degenerate Double Rotor map</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=De_Jong_fractal_map&action=edit&redlink=1" class="new" title="De Jong fractal map (page does not exist)">De Jong fractal map</a><sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td>4</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Delayed-Logistic_system&action=edit&redlink=1" class="new" title="Delayed-Logistic system (page does not exist)">Delayed-Logistic system</a><sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td>1</td> <td> </td></tr> <tr> <td>Discretized circular Van der Pol system<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td>1</td> <td><a href="/wiki/Euler_method" title="Euler method">Euler method</a> approximation to 'circular' Van der Pol-like ODE. </td></tr> <tr> <td><a href="/wiki/Van_der_Pol_oscillator" title="Van der Pol oscillator">Discretized Van der Pol system</a><sup id="cite_ref-17" class="reference"><a href="#cite_note-17"><span class="cite-bracket">[</span>17<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td>2</td> <td><a href="/wiki/Euler_method" title="Euler method">Euler method</a> approximation to Van der Pol ODE. </td></tr> <tr> <td><a href="/w/index.php?title=Double_rotor_map&action=edit&redlink=1" class="new" title="Double rotor map (page does not exist)">Double rotor map</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Duffing_map" title="Duffing map">Duffing map</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td>2</td> <td>Holmes chaotic map </td></tr> <tr> <td><a href="/wiki/Duffing_equation" title="Duffing equation">Duffing equation</a></td> <td>continuous</td> <td>real</td> <td>2</td> <td>5 (3 independent)</td> <td> </td></tr> <tr> <td><a href="/wiki/Dyadic_transformation" title="Dyadic transformation">Dyadic transformation</a></td> <td>discrete</td> <td>real</td> <td>1</td> <td>0</td> <td>2x mod 1 map, Bernoulli map, doubling map, sawtooth map </td></tr> <tr> <td><a href="/wiki/Exponential_map_(discrete_dynamical_systems)" title="Exponential map (discrete dynamical systems)">Exponential map</a></td> <td>discrete</td> <td>complex</td> <td>2</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Feigenbaum_strange_nonchaotic_map&action=edit&redlink=1" class="new" title="Feigenbaum strange nonchaotic map (page does not exist)">Feigenbaum strange nonchaotic map</a><sup id="cite_ref-18" class="reference"><a href="#cite_note-18"><span class="cite-bracket">[</span>18<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td>Finance system<sup id="cite_ref-19" class="reference"><a href="#cite_note-19"><span class="cite-bracket">[</span>19<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Folded-Towel_hyperchaotic_map&action=edit&redlink=1" class="new" title="Folded-Towel hyperchaotic map (page does not exist)">Folded-Towel hyperchaotic map</a><sup id="cite_ref-20" class="reference"><a href="#cite_note-20"><span class="cite-bracket">[</span>20<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Fractal-Dream_system&action=edit&redlink=1" class="new" title="Fractal-Dream system (page does not exist)">Fractal-Dream system</a><sup id="cite_ref-21" class="reference"><a href="#cite_note-21"><span class="cite-bracket">[</span>21<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Gauss_iterated_map" title="Gauss iterated map">Gauss map</a></td> <td>discrete</td> <td>real</td> <td>1</td> <td></td> <td>mouse map, Gaussian map </td></tr> <tr> <td><a href="/w/index.php?title=Generalized_Baker_map&action=edit&redlink=1" class="new" title="Generalized Baker map (page does not exist)">Generalized Baker map</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Genesio-Tesi_chaotic_attractor&action=edit&redlink=1" class="new" title="Genesio-Tesi chaotic attractor (page does not exist)">Genesio-Tesi chaotic attractor</a><sup id="cite_ref-22" class="reference"><a href="#cite_note-22"><span class="cite-bracket">[</span>22<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Gingerbreadman_map" title="Gingerbreadman map">Gingerbreadman map</a><sup id="cite_ref-23" class="reference"><a href="#cite_note-23"><span class="cite-bracket">[</span>23<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td>0</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Grinch_dragon_fractal&action=edit&redlink=1" class="new" title="Grinch dragon fractal (page does not exist)">Grinch dragon fractal</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Gumowski/Mira_map&action=edit&redlink=1" class="new" title="Gumowski/Mira map (page does not exist)">Gumowski/Mira map</a><sup id="cite_ref-24" class="reference"><a href="#cite_note-24"><span class="cite-bracket">[</span>24<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/wiki/Hadley_cell" title="Hadley cell">Hadley chaotic circulation</a></td> <td>continuous</td> <td>real</td> <td>3</td> <td>0</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Half-inverted_R%C3%B6ssler_attractor&action=edit&redlink=1" class="new" title="Half-inverted Rössler attractor (page does not exist)">Half-inverted Rössler attractor</a><sup id="cite_ref-25" class="reference"><a href="#cite_note-25"><span class="cite-bracket">[</span>25<span class="cite-bracket">]</span></a></sup></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Halvorsen_chaotic_attractor&action=edit&redlink=1" class="new" title="Halvorsen chaotic attractor (page does not exist)">Halvorsen chaotic attractor</a><sup id="cite_ref-26" class="reference"><a href="#cite_note-26"><span class="cite-bracket">[</span>26<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/H%C3%A9non_map" title="Hénon map">Hénon map</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=H%C3%A9non_with_5th_order_polynomial&action=edit&redlink=1" class="new" title="Hénon with 5th order polynomial (page does not exist)">Hénon with 5th order polynomial</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Hindmarsh-Rose_model" class="mw-redirect" title="Hindmarsh-Rose model">Hindmarsh-Rose neuronal model</a></td> <td>continuous</td> <td>real</td> <td>3</td> <td>8</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Hitzl-Zele_map&action=edit&redlink=1" class="new" title="Hitzl-Zele map (page does not exist)">Hitzl-Zele map</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Horseshoe_map" title="Horseshoe map">Horseshoe map</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Hopa-Jong_fractal&action=edit&redlink=1" class="new" title="Hopa-Jong fractal (page does not exist)">Hopa-Jong fractal</a><sup id="cite_ref-27" class="reference"><a href="#cite_note-27"><span class="cite-bracket">[</span>27<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Hopalong_orbit_fractal&action=edit&redlink=1" class="new" title="Hopalong orbit fractal (page does not exist)">Hopalong orbit fractal</a><sup id="cite_ref-28" class="reference"><a href="#cite_note-28"><span class="cite-bracket">[</span>28<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Hyper_Logistic_map&action=edit&redlink=1" class="new" title="Hyper Logistic map (page does not exist)">Hyper Logistic map</a><sup id="cite_ref-29" class="reference"><a href="#cite_note-29"><span class="cite-bracket">[</span>29<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Hyperchaotic_Chen_system&action=edit&redlink=1" class="new" title="Hyperchaotic Chen system (page does not exist)">Hyperchaotic Chen system</a><sup id="cite_ref-30" class="reference"><a href="#cite_note-30"><span class="cite-bracket">[</span>30<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Hyper_Newton-Leipnik_system&action=edit&redlink=1" class="new" title="Hyper Newton-Leipnik system (page does not exist)">Hyper Newton-Leipnik system</a><sup class="noprint Inline-Template Template-Fact" style="white-space:nowrap;">[<i><a href="/wiki/Wikipedia:Citation_needed" title="Wikipedia:Citation needed"><span title="This claim needs references to reliable sources. (November 2019)">citation needed</span></a></i>]</sup></td> <td>continuous</td> <td>real</td> <td>4</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Hyper-Lorenz_chaotic_attractor&action=edit&redlink=1" class="new" title="Hyper-Lorenz chaotic attractor (page does not exist)">Hyper-Lorenz chaotic attractor</a></td> <td>continuous</td> <td>real</td> <td>4</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Hyper-Lu_chaotic_system&action=edit&redlink=1" class="new" title="Hyper-Lu chaotic system (page does not exist)">Hyper-Lu chaotic system</a><sup id="cite_ref-31" class="reference"><a href="#cite_note-31"><span class="cite-bracket">[</span>31<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>4</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Hyper-R%C3%B6ssler_chaotic_attractor&action=edit&redlink=1" class="new" title="Hyper-Rössler chaotic attractor (page does not exist)">Hyper-Rössler chaotic attractor</a><sup id="cite_ref-32" class="reference"><a href="#cite_note-32"><span class="cite-bracket">[</span>32<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>4</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Hyperchaotic_attractor&action=edit&redlink=1" class="new" title="Hyperchaotic attractor (page does not exist)">Hyperchaotic attractor</a><sup id="cite_ref-33" class="reference"><a href="#cite_note-33"><span class="cite-bracket">[</span>33<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>4</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Ikeda_chaotic_attractor&action=edit&redlink=1" class="new" title="Ikeda chaotic attractor (page does not exist)">Ikeda chaotic attractor</a><sup id="cite_ref-34" class="reference"><a href="#cite_note-34"><span class="cite-bracket">[</span>34<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Ikeda_map" title="Ikeda map">Ikeda map</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td>3</td> <td>Ikeda fractal map </td></tr> <tr> <td><a href="/wiki/Interval_exchange_map" class="mw-redirect" title="Interval exchange map">Interval exchange map</a></td> <td>discrete</td> <td>real</td> <td>1</td> <td>variable</td> <td> </td></tr> <tr> <td><a href="/wiki/Kaplan-Yorke_map" class="mw-redirect" title="Kaplan-Yorke map">Kaplan-Yorke map</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Knot_fractal_map&action=edit&redlink=1" class="new" title="Knot fractal map (page does not exist)">Knot fractal map</a><sup id="cite_ref-35" class="reference"><a href="#cite_note-35"><span class="cite-bracket">[</span>35<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Knot-Holder_chaotic_oscillator&action=edit&redlink=1" class="new" title="Knot-Holder chaotic oscillator (page does not exist)">Knot-Holder chaotic oscillator</a><sup id="cite_ref-36" class="reference"><a href="#cite_note-36"><span class="cite-bracket">[</span>36<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Kuramoto%E2%80%93Sivashinsky_equation" title="Kuramoto–Sivashinsky equation">Kuramoto–Sivashinsky equation</a></td> <td>continuous</td> <td>real</td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Lambi%C4%87_map&action=edit&redlink=1" class="new" title="Lambić map (page does not exist)">Lambić map</a><sup id="cite_ref-37" class="reference"><a href="#cite_note-37"><span class="cite-bracket">[</span>37<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>discrete</td> <td>1</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Li_symmetrical_toroidal_chaos&action=edit&redlink=1" class="new" title="Li symmetrical toroidal chaos (page does not exist)">Li symmetrical toroidal chaos</a><sup id="cite_ref-38" class="reference"><a href="#cite_note-38"><span class="cite-bracket">[</span>38<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Linear_map_on_unit_square&action=edit&redlink=1" class="new" title="Linear map on unit square (page does not exist)">Linear map on unit square</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Logistic_map" title="Logistic map">Logistic map</a></td> <td>discrete</td> <td>real</td> <td>1</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/wiki/Lorenz_system" title="Lorenz system">Lorenz system</a></td> <td>continuous</td> <td>real</td> <td>3</td> <td>3</td> <td> </td></tr> <tr> <td>Lorenz system's <a href="/w/index.php?title=Poincar%C3%A9_return_map&action=edit&redlink=1" class="new" title="Poincaré return map (page does not exist)">Poincaré return map</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td>3</td> <td> </td></tr> <tr> <td><a href="/wiki/Lorenz_96_model" title="Lorenz 96 model">Lorenz 96 model</a></td> <td>continuous</td> <td>real</td> <td>arbitrary</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/wiki/Lotka-Volterra_system" class="mw-redirect" title="Lotka-Volterra system">Lotka-Volterra system</a></td> <td>continuous</td> <td>real</td> <td>3</td> <td>9</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Lozi_map&action=edit&redlink=1" class="new" title="Lozi map (page does not exist)">Lozi map</a><sup id="cite_ref-39" class="reference"><a href="#cite_note-39"><span class="cite-bracket">[</span>39<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Moore-Spiegel_chaotic_oscillator&action=edit&redlink=1" class="new" title="Moore-Spiegel chaotic oscillator (page does not exist)">Moore-Spiegel chaotic oscillator</a><sup id="cite_ref-40" class="reference"><a href="#cite_note-40"><span class="cite-bracket">[</span>40<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Scroll-Attractor&action=edit&redlink=1" class="new" title="Scroll-Attractor (page does not exist)">Scroll-Attractor</a><sup id="cite_ref-41" class="reference"><a href="#cite_note-41"><span class="cite-bracket">[</span>41<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Jerk_Circuit&action=edit&redlink=1" class="new" title="Jerk Circuit (page does not exist)">Jerk Circuit</a><sup id="cite_ref-42" class="reference"><a href="#cite_note-42"><span class="cite-bracket">[</span>42<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Newton-Leipnik_system&action=edit&redlink=1" class="new" title="Newton-Leipnik system (page does not exist)">Newton-Leipnik system</a></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Nordmark_truncated_map&action=edit&redlink=1" class="new" title="Nordmark truncated map (page does not exist)">Nordmark truncated map</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Nos%C3%A9%E2%80%93Hoover_thermostat" title="Nosé–Hoover thermostat">Nosé-Hoover system</a></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Novel_chaotic_system&action=edit&redlink=1" class="new" title="Novel chaotic system (page does not exist)">Novel chaotic system</a><sup id="cite_ref-43" class="reference"><a href="#cite_note-43"><span class="cite-bracket">[</span>43<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Pickover_fractal_map&action=edit&redlink=1" class="new" title="Pickover fractal map (page does not exist)">Pickover fractal map</a><sup id="cite_ref-44" class="reference"><a href="#cite_note-44"><span class="cite-bracket">[</span>44<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Pomeau-Manneville_maps_for_intermittent_chaos&action=edit&redlink=1" class="new" title="Pomeau-Manneville maps for intermittent chaos (page does not exist)">Pomeau-Manneville maps for intermittent chaos </a></td> <td>discrete</td> <td>real</td> <td>1 or 2</td> <td></td> <td>Normal-form maps for intermittency (Types I, II and III) </td></tr> <tr> <td><a href="/w/index.php?title=Polynom_Type-A_fractal_map&action=edit&redlink=1" class="new" title="Polynom Type-A fractal map (page does not exist)">Polynom Type-A fractal map</a><sup id="cite_ref-45" class="reference"><a href="#cite_note-45"><span class="cite-bracket">[</span>45<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>3</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Polynom_Type-B_fractal_map&action=edit&redlink=1" class="new" title="Polynom Type-B fractal map (page does not exist)">Polynom Type-B fractal map</a><sup id="cite_ref-46" class="reference"><a href="#cite_note-46"><span class="cite-bracket">[</span>46<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>6</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Polynom_Type-C_fractal_map&action=edit&redlink=1" class="new" title="Polynom Type-C fractal map (page does not exist)">Polynom Type-C fractal map</a><sup id="cite_ref-47" class="reference"><a href="#cite_note-47"><span class="cite-bracket">[</span>47<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>18</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Pulsed_rotor&action=edit&redlink=1" class="new" title="Pulsed rotor (page does not exist)">Pulsed rotor</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Quadrup-Two_orbit_fractal&action=edit&redlink=1" class="new" title="Quadrup-Two orbit fractal (page does not exist)">Quadrup-Two orbit fractal</a><sup id="cite_ref-48" class="reference"><a href="#cite_note-48"><span class="cite-bracket">[</span>48<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td>3</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Quasiperiodicity_map&action=edit&redlink=1" class="new" title="Quasiperiodicity map (page does not exist)">Quasiperiodicity map</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Mikhail_Anatoly_equations&action=edit&redlink=1" class="new" title="Mikhail Anatoly equations (page does not exist)">Mikhail Anatoly chaotic attractor</a></td> <td>continuous</td> <td>real</td> <td>3</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Random_Rotate_map&action=edit&redlink=1" class="new" title="Random Rotate map (page does not exist)">Random Rotate map</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Rayleigh%E2%80%93B%C3%A9nard_convection" title="Rayleigh–Bénard convection">Rayleigh-Benard chaotic oscillator</a></td> <td>continuous</td> <td>real</td> <td>3</td> <td>3</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Rikitake_chaotic_attractor&action=edit&redlink=1" class="new" title="Rikitake chaotic attractor (page does not exist)">Rikitake chaotic attractor</a><sup id="cite_ref-49" class="reference"><a href="#cite_note-49"><span class="cite-bracket">[</span>49<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>3</td> <td> </td></tr> <tr> <td><a href="/wiki/R%C3%B6ssler_attractor" title="Rössler attractor">Rössler attractor</a></td> <td>continuous</td> <td>real</td> <td>3</td> <td>3</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Rucklidge_system&action=edit&redlink=1" class="new" title="Rucklidge system (page does not exist)">Rucklidge system</a><sup id="cite_ref-50" class="reference"><a href="#cite_note-50"><span class="cite-bracket">[</span>50<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sakarya_chaotic_attractor&action=edit&redlink=1" class="new" title="Sakarya chaotic attractor (page does not exist)">Sakarya chaotic attractor</a><sup id="cite_ref-51" class="reference"><a href="#cite_note-51"><span class="cite-bracket">[</span>51<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Shaw-Pol_chaotic_oscillator&action=edit&redlink=1" class="new" title="Shaw-Pol chaotic oscillator (page does not exist)">Shaw-Pol chaotic oscillator</a><sup id="cite_ref-52" class="reference"><a href="#cite_note-52"><span class="cite-bracket">[</span>52<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-53" class="reference"><a href="#cite_note-53"><span class="cite-bracket">[</span>53<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>3</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Shimizu-Morioka_system&action=edit&redlink=1" class="new" title="Shimizu-Morioka system (page does not exist)">Shimizu-Morioka system</a><sup id="cite_ref-54" class="reference"><a href="#cite_note-54"><span class="cite-bracket">[</span>54<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Shobu-Ose-Mori_piecewise-linear_map&action=edit&redlink=1" class="new" title="Shobu-Ose-Mori piecewise-linear map (page does not exist)">Shobu-Ose-Mori piecewise-linear map</a></td> <td>discrete</td> <td>real</td> <td>1</td> <td></td> <td>piecewise-linear approximation for Pomeau-Manneville Type I map </td></tr> <tr> <td><a href="/w/index.php?title=Sinai_map&action=edit&redlink=1" class="new" title="Sinai map (page does not exist)">Sinai map</a> - <a rel="nofollow" class="external autonumber" href="http://www.maths.ox.ac.uk/~mcsharry/papers/dynsys18n3p191y2003mcsharry.pdf">[1]</a><a rel="nofollow" class="external autonumber" href="http://people.maths.ox.ac.uk/~mcsharry/papers/dynsys18n3p191y2003mcsharry.ps.gz">[2]</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott_B_chaotic_system&action=edit&redlink=1" class="new" title="Sprott B chaotic system (page does not exist)">Sprott B chaotic system</a><sup id="cite_ref-55" class="reference"><a href="#cite_note-55"><span class="cite-bracket">[</span>55<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-56" class="reference"><a href="#cite_note-56"><span class="cite-bracket">[</span>56<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott_C_chaotic_system&action=edit&redlink=1" class="new" title="Sprott C chaotic system (page does not exist)">Sprott C chaotic system</a><sup id="cite_ref-57" class="reference"><a href="#cite_note-57"><span class="cite-bracket">[</span>57<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-58" class="reference"><a href="#cite_note-58"><span class="cite-bracket">[</span>58<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>3</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_A_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz A chaotic attractor (page does not exist)">Sprott-Linz A chaotic attractor</a><sup id="cite_ref-59" class="reference"><a href="#cite_note-59"><span class="cite-bracket">[</span>59<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-60" class="reference"><a href="#cite_note-60"><span class="cite-bracket">[</span>60<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-61" class="reference"><a href="#cite_note-61"><span class="cite-bracket">[</span>61<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>0</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_B_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz B chaotic attractor (page does not exist)">Sprott-Linz B chaotic attractor</a><sup id="cite_ref-62" class="reference"><a href="#cite_note-62"><span class="cite-bracket">[</span>62<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-63" class="reference"><a href="#cite_note-63"><span class="cite-bracket">[</span>63<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-64" class="reference"><a href="#cite_note-64"><span class="cite-bracket">[</span>64<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>0</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_C_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz C chaotic attractor (page does not exist)">Sprott-Linz C chaotic attractor</a><sup id="cite_ref-65" class="reference"><a href="#cite_note-65"><span class="cite-bracket">[</span>65<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-66" class="reference"><a href="#cite_note-66"><span class="cite-bracket">[</span>66<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-67" class="reference"><a href="#cite_note-67"><span class="cite-bracket">[</span>67<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>0</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_D_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz D chaotic attractor (page does not exist)">Sprott-Linz D chaotic attractor</a><sup id="cite_ref-68" class="reference"><a href="#cite_note-68"><span class="cite-bracket">[</span>68<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-69" class="reference"><a href="#cite_note-69"><span class="cite-bracket">[</span>69<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-70" class="reference"><a href="#cite_note-70"><span class="cite-bracket">[</span>70<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_E_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz E chaotic attractor (page does not exist)">Sprott-Linz E chaotic attractor</a><sup id="cite_ref-71" class="reference"><a href="#cite_note-71"><span class="cite-bracket">[</span>71<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-72" class="reference"><a href="#cite_note-72"><span class="cite-bracket">[</span>72<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-73" class="reference"><a href="#cite_note-73"><span class="cite-bracket">[</span>73<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_F_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz F chaotic attractor (page does not exist)">Sprott-Linz F chaotic attractor</a><sup id="cite_ref-74" class="reference"><a href="#cite_note-74"><span class="cite-bracket">[</span>74<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-75" class="reference"><a href="#cite_note-75"><span class="cite-bracket">[</span>75<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-76" class="reference"><a href="#cite_note-76"><span class="cite-bracket">[</span>76<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_G_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz G chaotic attractor (page does not exist)">Sprott-Linz G chaotic attractor</a><sup id="cite_ref-77" class="reference"><a href="#cite_note-77"><span class="cite-bracket">[</span>77<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-78" class="reference"><a href="#cite_note-78"><span class="cite-bracket">[</span>78<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-79" class="reference"><a href="#cite_note-79"><span class="cite-bracket">[</span>79<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_H_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz H chaotic attractor (page does not exist)">Sprott-Linz H chaotic attractor</a><sup id="cite_ref-80" class="reference"><a href="#cite_note-80"><span class="cite-bracket">[</span>80<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-81" class="reference"><a href="#cite_note-81"><span class="cite-bracket">[</span>81<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-82" class="reference"><a href="#cite_note-82"><span class="cite-bracket">[</span>82<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_I_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz I chaotic attractor (page does not exist)">Sprott-Linz I chaotic attractor</a><sup id="cite_ref-83" class="reference"><a href="#cite_note-83"><span class="cite-bracket">[</span>83<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-84" class="reference"><a href="#cite_note-84"><span class="cite-bracket">[</span>84<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-85" class="reference"><a href="#cite_note-85"><span class="cite-bracket">[</span>85<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_J_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz J chaotic attractor (page does not exist)">Sprott-Linz J chaotic attractor</a><sup id="cite_ref-86" class="reference"><a href="#cite_note-86"><span class="cite-bracket">[</span>86<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-87" class="reference"><a href="#cite_note-87"><span class="cite-bracket">[</span>87<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-88" class="reference"><a href="#cite_note-88"><span class="cite-bracket">[</span>88<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_K_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz K chaotic attractor (page does not exist)">Sprott-Linz K chaotic attractor</a><sup id="cite_ref-89" class="reference"><a href="#cite_note-89"><span class="cite-bracket">[</span>89<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-90" class="reference"><a href="#cite_note-90"><span class="cite-bracket">[</span>90<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-91" class="reference"><a href="#cite_note-91"><span class="cite-bracket">[</span>91<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_L_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz L chaotic attractor (page does not exist)">Sprott-Linz L chaotic attractor</a><sup id="cite_ref-92" class="reference"><a href="#cite_note-92"><span class="cite-bracket">[</span>92<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-93" class="reference"><a href="#cite_note-93"><span class="cite-bracket">[</span>93<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-94" class="reference"><a href="#cite_note-94"><span class="cite-bracket">[</span>94<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_M_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz M chaotic attractor (page does not exist)">Sprott-Linz M chaotic attractor</a><sup id="cite_ref-95" class="reference"><a href="#cite_note-95"><span class="cite-bracket">[</span>95<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-96" class="reference"><a href="#cite_note-96"><span class="cite-bracket">[</span>96<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-97" class="reference"><a href="#cite_note-97"><span class="cite-bracket">[</span>97<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_N_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz N chaotic attractor (page does not exist)">Sprott-Linz N chaotic attractor</a><sup id="cite_ref-98" class="reference"><a href="#cite_note-98"><span class="cite-bracket">[</span>98<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-99" class="reference"><a href="#cite_note-99"><span class="cite-bracket">[</span>99<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-100" class="reference"><a href="#cite_note-100"><span class="cite-bracket">[</span>100<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_O_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz O chaotic attractor (page does not exist)">Sprott-Linz O chaotic attractor</a><sup id="cite_ref-101" class="reference"><a href="#cite_note-101"><span class="cite-bracket">[</span>101<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-102" class="reference"><a href="#cite_note-102"><span class="cite-bracket">[</span>102<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-103" class="reference"><a href="#cite_note-103"><span class="cite-bracket">[</span>103<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_P_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz P chaotic attractor (page does not exist)">Sprott-Linz P chaotic attractor</a><sup id="cite_ref-104" class="reference"><a href="#cite_note-104"><span class="cite-bracket">[</span>104<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-105" class="reference"><a href="#cite_note-105"><span class="cite-bracket">[</span>105<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-106" class="reference"><a href="#cite_note-106"><span class="cite-bracket">[</span>106<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_Q_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz Q chaotic attractor (page does not exist)">Sprott-Linz Q chaotic attractor</a><sup id="cite_ref-107" class="reference"><a href="#cite_note-107"><span class="cite-bracket">[</span>107<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-108" class="reference"><a href="#cite_note-108"><span class="cite-bracket">[</span>108<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-109" class="reference"><a href="#cite_note-109"><span class="cite-bracket">[</span>109<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_R_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz R chaotic attractor (page does not exist)">Sprott-Linz R chaotic attractor</a><sup id="cite_ref-110" class="reference"><a href="#cite_note-110"><span class="cite-bracket">[</span>110<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-111" class="reference"><a href="#cite_note-111"><span class="cite-bracket">[</span>111<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-112" class="reference"><a href="#cite_note-112"><span class="cite-bracket">[</span>112<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Sprott-Linz_S_chaotic_attractor&action=edit&redlink=1" class="new" title="Sprott-Linz S chaotic attractor (page does not exist)">Sprott-Linz S chaotic attractor</a><sup id="cite_ref-113" class="reference"><a href="#cite_note-113"><span class="cite-bracket">[</span>113<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-114" class="reference"><a href="#cite_note-114"><span class="cite-bracket">[</span>114<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-115" class="reference"><a href="#cite_note-115"><span class="cite-bracket">[</span>115<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/wiki/Standard_map" title="Standard map">Standard map</a>, <a href="/wiki/Kicked_rotor" class="mw-redirect" title="Kicked rotor">Kicked rotor</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td>1</td> <td>Chirikov standard map, Chirikov-Taylor map </td></tr> <tr> <td><a href="/w/index.php?title=Strizhak-Kawczynski_chaotic_oscillator&action=edit&redlink=1" class="new" title="Strizhak-Kawczynski chaotic oscillator (page does not exist)">Strizhak-Kawczynski chaotic oscillator</a><sup id="cite_ref-116" class="reference"><a href="#cite_note-116"><span class="cite-bracket">[</span>116<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-117" class="reference"><a href="#cite_note-117"><span class="cite-bracket">[</span>117<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>9</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Symmetric_Flow_attractor&action=edit&redlink=1" class="new" title="Symmetric Flow attractor (page does not exist)">Symmetric Flow attractor</a><sup id="cite_ref-118" class="reference"><a href="#cite_note-118"><span class="cite-bracket">[</span>118<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/wiki/Symplectomorphism" title="Symplectomorphism">Symplectic map</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Tangent_space#The_derivative_of_a_map" title="Tangent space">Tangent map</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Tahn_map&action=edit&redlink=1" class="new" title="Tahn map (page does not exist)">Tahn map</a><sup id="cite_ref-119" class="reference"><a href="#cite_note-119"><span class="cite-bracket">[</span>119<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>1</td> <td>1</td> <td>Ring laser map <sup id="cite_ref-120" class="reference"><a href="#cite_note-120"><span class="cite-bracket">[</span>120<span class="cite-bracket">]</span></a></sup><a href="/wiki/Beta_distribution" title="Beta distribution">Beta distribution</a><sup id="cite_ref-121" class="reference"><a href="#cite_note-121"><span class="cite-bracket">[</span>121<span class="cite-bracket">]</span></a></sup> <p><sup id="cite_ref-122" class="reference"><a href="#cite_note-122"><span class="cite-bracket">[</span>122<span class="cite-bracket">]</span></a></sup> </p> </td></tr> <tr> <td><a href="/wiki/Thomas%27_cyclically_symmetric_attractor" title="Thomas' cyclically symmetric attractor">Thomas' cyclically symmetric attractor</a><sup id="cite_ref-123" class="reference"><a href="#cite_note-123"><span class="cite-bracket">[</span>123<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>1</td> <td> </td></tr> <tr> <td><a href="/wiki/Tent_map" title="Tent map">Tent map</a></td> <td>discrete</td> <td>real</td> <td>1</td> <td></td> <td> </td></tr> <tr> <td><a href="/wiki/Tinkerbell_map" title="Tinkerbell map">Tinkerbell map</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td>4</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Triangle_map&action=edit&redlink=1" class="new" title="Triangle map (page does not exist)">Triangle map</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Ueda_chaotic_oscillator&action=edit&redlink=1" class="new" title="Ueda chaotic oscillator (page does not exist)">Ueda chaotic oscillator</a><sup id="cite_ref-124" class="reference"><a href="#cite_note-124"><span class="cite-bracket">[</span>124<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>3</td> <td> </td></tr> <tr> <td><a href="/wiki/Van_der_Pol_oscillator" title="Van der Pol oscillator">Van der Pol oscillator</a></td> <td>continuous</td> <td>real</td> <td>2</td> <td>3</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Willamowski-R%C3%B6ssler_model&action=edit&redlink=1" class="new" title="Willamowski-Rössler model (page does not exist)">Willamowski-Rössler model</a><sup id="cite_ref-125" class="reference"><a href="#cite_note-125"><span class="cite-bracket">[</span>125<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>3</td> <td>10</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=WINDMI_chaotic_attractor&action=edit&redlink=1" class="new" title="WINDMI chaotic attractor (page does not exist)">WINDMI chaotic attractor</a><sup id="cite_ref-126" class="reference"><a href="#cite_note-126"><span class="cite-bracket">[</span>126<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-127" class="reference"><a href="#cite_note-127"><span class="cite-bracket">[</span>127<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-128" class="reference"><a href="#cite_note-128"><span class="cite-bracket">[</span>128<span class="cite-bracket">]</span></a></sup></td> <td>continuous</td> <td>real</td> <td>1</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/wiki/Zaslavskii_map" title="Zaslavskii map">Zaslavskii map</a></td> <td>discrete</td> <td>real</td> <td>2</td> <td>4</td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Zaslavskii_rotation_map&action=edit&redlink=1" class="new" title="Zaslavskii rotation map (page does not exist)">Zaslavskii rotation map</a></td> <td></td> <td></td> <td></td> <td></td> <td> </td></tr> <tr> <td><a href="/w/index.php?title=Zeraoulia-Sprott_map&action=edit&redlink=1" class="new" title="Zeraoulia-Sprott map (page does not exist)">Zeraoulia-Sprott map</a><sup id="cite_ref-129" class="reference"><a href="#cite_note-129"><span class="cite-bracket">[</span>129<span class="cite-bracket">]</span></a></sup></td> <td>discrete</td> <td>real</td> <td>2</td> <td>2</td> <td> </td></tr> <tr> <td><a href="/wiki/Chialvo_map" title="Chialvo map">Chialvo map</a> </td> <td>discrete </td> <td>discrete </td> <td> </td> <td>3 </td></tr></tbody></table> <div class="mw-heading mw-heading2"><h2 id="List_of_fractals">List of fractals</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_chaotic_maps&action=edit&section=2" title="Edit section: List of fractals"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1236090951">.mw-parser-output .hatnote{font-style:italic}.mw-parser-output div.hatnote{padding-left:1.6em;margin-bottom:0.5em}.mw-parser-output .hatnote i{font-style:normal}.mw-parser-output .hatnote+link+.hatnote{margin-top:-0.5em}@media print{body.ns-0 .mw-parser-output .hatnote{display:none!important}}</style><div role="note" class="hatnote navigation-not-searchable">See also: <a href="/wiki/List_of_fractals_by_Hausdorff_dimension" title="List of fractals by Hausdorff dimension">List of fractals by Hausdorff dimension</a></div> <ul><li><a href="/wiki/Cantor_set" title="Cantor set">Cantor set</a></li> <li><a href="/wiki/De_Rham_curve" title="De Rham curve">de Rham curve</a></li> <li><a href="/w/index.php?title=Gravity_set&action=edit&redlink=1" class="new" title="Gravity set (page does not exist)">Gravity set</a>, or Mitchell-Green gravity set</li> <li><a href="/wiki/Julia_set" title="Julia set">Julia set</a> - derived from complex quadratic map</li> <li><a href="/wiki/Koch_snowflake" title="Koch snowflake">Koch snowflake</a> - special case of <a href="/wiki/De_Rham_curve" title="De Rham curve">de Rham curve</a></li> <li><a href="/wiki/Lyapunov_fractal" title="Lyapunov fractal">Lyapunov fractal</a></li> <li><a href="/wiki/Mandelbrot_set" title="Mandelbrot set">Mandelbrot set</a> - derived from complex quadratic map</li> <li><a href="/wiki/Menger_sponge" title="Menger sponge">Menger sponge</a></li> <li><a href="/wiki/Newton_fractal" title="Newton fractal">Newton fractal</a></li> <li><a href="/wiki/Nova_fractal" class="mw-redirect" title="Nova fractal">Nova fractal</a> - derived from Newton fractal</li> <li><a href="/w/index.php?title=Quaternionic_fractal&action=edit&redlink=1" class="new" title="Quaternionic fractal (page does not exist)">Quaternionic fractal</a> - three dimensional complex quadratic map</li> <li><a href="/wiki/Sierpinski_carpet" class="mw-redirect" title="Sierpinski carpet">Sierpinski carpet</a></li> <li><a href="/wiki/Sierpinski_triangle" class="mw-redirect" title="Sierpinski triangle">Sierpinski triangle</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=List_of_chaotic_maps&action=edit&section=3" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist"> <div class="mw-references-wrap mw-references-columns"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-1">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/chaos/eulermap.htm">Chaos from Euler Solution of ODEs</a></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/chaos/elhadj/2dmap4/pub4.pdf">On the dynamics of a new simple 2-D rational discrete mapping</a></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external free" href="http://www.yangsky.us/ijcc/pdf/ijcc83/IJCC823.pdf">http://www.yangsky.us/ijcc/pdf/ijcc83/IJCC823.pdf</a><sup class="noprint Inline-Template"><span style="white-space: nowrap;">[<i><a href="/wiki/Wikipedia:Link_rot" title="Wikipedia:Link rot"><span title=" Dead link tagged March 2020">permanent dead link</span></a></i><span style="visibility:hidden; color:transparent; padding-left:2px">‍</span>]</span></sup></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.algosome.com/articles/aizawa-attractor-chaos.html">The Aizawa attractor</a></span> </li> <li id="cite_note-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-5">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.scientific.net/AMM.130-134.2550">Local Stability and Hopf Bifurcation Analysis of the Arneodo’s System</a></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.ba.infn.it/~zito/ds/basin.html">Basin of attraction</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20140701200254/http://www.ba.infn.it/~zito/ds/basin.html">Archived</a> 2014-07-01 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-7"><span class="mw-cite-backlink"><b><a href="#cite_ref-7">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFZahmoulEjbaliZaied2017" class="citation journal cs1">Zahmoul, Rim; Ejbali, Ridha; Zaied, Mourad (2017). <a rel="nofollow" class="external text" href="https://linkinghub.elsevier.com/retrieve/pii/S0143816617300775">"Image encryption based on new Beta chaotic maps"</a>. <i>Optics and Lasers in Engineering</i>. <b>96</b>: 39–49. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2017OptLE..96...39Z">2017OptLE..96...39Z</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.optlaseng.2017.04.009">10.1016/j.optlaseng.2017.04.009</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Optics+and+Lasers+in+Engineering&rft.atitle=Image+encryption+based+on+new+Beta+chaotic+maps&rft.volume=96&rft.pages=39-49&rft.date=2017&rft_id=info%3Adoi%2F10.1016%2Fj.optlaseng.2017.04.009&rft_id=info%3Abibcode%2F2017OptLE..96...39Z&rft.aulast=Zahmoul&rft.aufirst=Rim&rft.au=Ejbali%2C+Ridha&rft.au=Zaied%2C+Mourad&rft_id=https%3A%2F%2Flinkinghub.elsevier.com%2Fretrieve%2Fpii%2FS0143816617300775&rfr_id=info%3Asid%2Fen.wikipedia.org%3AList+of+chaotic+maps" class="Z3988"></span></span> </li> <li id="cite_note-8"><span class="mw-cite-backlink"><b><a href="#cite_ref-8">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.atomosyd.net/spip.php?article33">1981 The Burke & Shaw system</a></span> </li> <li id="cite_note-9"><span class="mw-cite-backlink"><b><a href="#cite_ref-9">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://lsc.amss.ac.cn/~ljh/02LC.pdf">A new chaotic attractor coined</a></span> </li> <li id="cite_note-10"><span class="mw-cite-backlink"><b><a href="#cite_ref-10">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://lsc.amss.ac.cn/~ljh/02LC.pdf">A new chaotic attractor coined</a></span> </li> <li id="cite_note-11"><span class="mw-cite-backlink"><b><a href="#cite_ref-11">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://lsc.amss.ac.cn/~ljh/02LC.pdf">A new chaotic attractor coined</a></span> </li> <li id="cite_note-12"><span class="mw-cite-backlink"><b><a href="#cite_ref-12">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external free" href="http://www.scholarpedia.org/article/Chua_circuit">http://www.scholarpedia.org/article/Chua_circuit</a> Chua Circuit</span> </li> <li id="cite_note-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-13">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://paulbourke.net/fractals/clifford/">Clifford Attractors</a></span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://paulbourke.net/fractals/peterdejong/">Peter de Jong Attractors</a></span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-15">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.phaser.com/modules/ecology/delayed_logistic/index.html">A discrete population model of delayed regulation</a></span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/chaos/eulermap.htm">Chaos from Euler Solution of ODEs</a></span> </li> <li id="cite_note-17"><span class="mw-cite-backlink"><b><a href="#cite_ref-17">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/chaos/eulermap.htm">Chaos from Euler Solution of ODEs</a></span> </li> <li id="cite_note-18"><span class="mw-cite-backlink"><b><a href="#cite_ref-18">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.emis.de/journals/HOA/DDNS/2/153.pdf">Irregular Attractors</a></span> </li> <li id="cite_note-19"><span class="mw-cite-backlink"><b><a href="#cite_ref-19">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.internonlinearscience.org/upload/papers/20110308103218810.pdf">A New Finance Chaotic Attractor</a></span> </li> <li id="cite_note-20"><span class="mw-cite-backlink"><b><a href="#cite_ref-20">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2011/12/hyperchaotic.html">Hyperchaos</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151222135224/http://jlswbs.blogspot.de/2011/12/hyperchaotic.html">Archived</a> 2015-12-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-21"><span class="mw-cite-backlink"><b><a href="#cite_ref-21">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://softology.com.au/tutorials/attractors2d/tutorial.htm">Visions of Chaos 2D Strange Attractor Tutorial</a></span> </li> <li id="cite_note-22"><span class="mw-cite-backlink"><b><a href="#cite_ref-22">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://lsc.amss.ac.cn/~ljh/04LCC.pdf">A new chaotic system and beyond: The generalized Lorenz-like system</a></span> </li> <li id="cite_note-23"><span class="mw-cite-backlink"><b><a href="#cite_ref-23">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://mathworld.wolfram.com/GingerbreadmanMap.html">Gingerbreadman map</a></span> </li> <li id="cite_note-24"><span class="mw-cite-backlink"><b><a href="#cite_ref-24">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.copysense.co.uk/mira.php">Mira Fractals</a></span> </li> <li id="cite_note-25"><span class="mw-cite-backlink"><b><a href="#cite_ref-25">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.scholarpedia.org/article/Chaos_topology">Half-inverted tearing</a></span> </li> <li id="cite_note-26"><span class="mw-cite-backlink"><b><a href="#cite_ref-26">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/lorenz.pdf">Halvorsen: A tribute to Dr. Edward Norton Lorenz</a></span> </li> <li id="cite_note-27"><span class="mw-cite-backlink"><b><a href="#cite_ref-27">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://paulbourke.net/fractals/peterdejong/">Peter de Jong Attractors</a></span> </li> <li id="cite_note-28"><span class="mw-cite-backlink"><b><a href="#cite_ref-28">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.jamesh.id.au/fractals/orbit/hopalong.html">Hopalong orbit fractal</a></span> </li> <li id="cite_note-29"><span class="mw-cite-backlink"><b><a href="#cite_ref-29">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.emis.de/journals/HOA/DDNS/2/153.pdf">Irregular Attractors</a></span> </li> <li id="cite_note-30"><span class="mw-cite-backlink"><b><a href="#cite_ref-30">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.ijest.info/docs/IJEST11-03-05-262.pdf">Global chaos synchronization of hyperchaotic chen system by sliding model control</a></span> </li> <li id="cite_note-31"><span class="mw-cite-backlink"><b><a href="#cite_ref-31">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.ias.ac.in/pramana/v73/p781/fulltext.pdf">Hyper-Lu system</a></span> </li> <li id="cite_note-32"><span class="mw-cite-backlink"><b><a href="#cite_ref-32">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.scholarpedia.org/article/Hyperchaos">The first hyperchaotic system</a></span> </li> <li id="cite_note-33"><span class="mw-cite-backlink"><b><a href="#cite_ref-33">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2011/12/hyperchaotic_23.html">Hyperchaotic attractor</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151222083004/http://jlswbs.blogspot.de/2011/12/hyperchaotic_23.html">Archived</a> 2015-12-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-34"><span class="mw-cite-backlink"><b><a href="#cite_ref-34">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.bentamari.com/attractors.html">Attractors</a></span> </li> <li id="cite_note-35"><span class="mw-cite-backlink"><b><a href="#cite_ref-35">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2012/03/knot.html">Knot fractal map</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151222103231/http://jlswbs.blogspot.de/2012/03/knot.html">Archived</a> 2015-12-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-36"><span class="mw-cite-backlink"><b><a href="#cite_ref-36">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLefrancLetellierGilmore2008" class="citation journal cs1">Lefranc, Marc; Letellier, Christophe; Gilmore, Robert (2008). <a rel="nofollow" class="external text" href="https://doi.org/10.4249%2Fscholarpedia.4592">"Chaos topology"</a>. <i>Scholarpedia</i>. <b>3</b> (7): 4592. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2008SchpJ...3.4592G">2008SchpJ...3.4592G</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.4249%2Fscholarpedia.4592">10.4249/scholarpedia.4592</a></span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Scholarpedia&rft.atitle=Chaos+topology&rft.volume=3&rft.issue=7&rft.pages=4592&rft.date=2008&rft_id=info%3Adoi%2F10.4249%2Fscholarpedia.4592&rft_id=info%3Abibcode%2F2008SchpJ...3.4592G&rft.aulast=Lefranc&rft.aufirst=Marc&rft.au=Letellier%2C+Christophe&rft.au=Gilmore%2C+Robert&rft_id=https%3A%2F%2Fdoi.org%2F10.4249%252Fscholarpedia.4592&rfr_id=info%3Asid%2Fen.wikipedia.org%3AList+of+chaotic+maps" class="Z3988"></span></span> </li> <li id="cite_note-37"><span class="mw-cite-backlink"><b><a href="#cite_ref-37">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFLambić2015" class="citation journal cs1">Lambić, Dragan (2015). <a rel="nofollow" class="external text" href="https://linkinghub.elsevier.com/retrieve/pii/S0960077915002325">"A new discrete chaotic map based on the composition of permutations"</a>. <i>Chaos, Solitons & Fractals</i>. <b>78</b>: 245–248. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2015CSF....78..245L">2015CSF....78..245L</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.chaos.2015.08.001">10.1016/j.chaos.2015.08.001</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Chaos%2C+Solitons+%26+Fractals&rft.atitle=A+new+discrete+chaotic+map+based+on+the+composition+of+permutations&rft.volume=78&rft.pages=245-248&rft.date=2015&rft_id=info%3Adoi%2F10.1016%2Fj.chaos.2015.08.001&rft_id=info%3Abibcode%2F2015CSF....78..245L&rft.aulast=Lambi%C4%87&rft.aufirst=Dragan&rft_id=https%3A%2F%2Flinkinghub.elsevier.com%2Fretrieve%2Fpii%2FS0960077915002325&rfr_id=info%3Asid%2Fen.wikipedia.org%3AList+of+chaotic+maps" class="Z3988"></span></span> </li> <li id="cite_note-38"><span class="mw-cite-backlink"><b><a href="#cite_ref-38">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.atomosyd.net/spip.php?article66">A 3D symmetrical toroidal chaos</a></span> </li> <li id="cite_note-39"><span class="mw-cite-backlink"><b><a href="#cite_ref-39">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://padyn.wikidot.com/lozi-maps">Lozi maps</a></span> </li> <li id="cite_note-40"><span class="mw-cite-backlink"><b><a href="#cite_ref-40">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://demonstrations.wolfram.com/MooreSpiegelAttractor/">Moore-Spiegel Attractor</a></span> </li> <li id="cite_note-41"><span class="mw-cite-backlink"><b><a href="#cite_ref-41">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://lsc.amss.ac.cn/~ljh/04LCC.pdf">A new chaotic system and beyond: The generalized lorenz-like system</a></span> </li> <li id="cite_note-42"><span class="mw-cite-backlink"><b><a href="#cite_ref-42">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/pubs/paper352.pdf">A New Chaotic Jerk Circuit</a></span> </li> <li id="cite_note-43"><span class="mw-cite-backlink"><b><a href="#cite_ref-43">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.emis.de/journals/HOA/MPE/Volume2011/452671.pdf">Chaos Control and Hybrid Projective Synchronization of a Novel Chaotic System</a></span> </li> <li id="cite_note-44"><span class="mw-cite-backlink"><b><a href="#cite_ref-44">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.chaoscope.org/doc/attractors.htm">Pickover</a></span> </li> <li id="cite_note-45"><span class="mw-cite-backlink"><b><a href="#cite_ref-45">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.chaoscope.org/doc/attractors.htm">Polynomial Type-A</a></span> </li> <li id="cite_note-46"><span class="mw-cite-backlink"><b><a href="#cite_ref-46">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.chaoscope.org/doc/attractors.htm">Polynomial Type-B</a></span> </li> <li id="cite_note-47"><span class="mw-cite-backlink"><b><a href="#cite_ref-47">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.chaoscope.org/doc/attractors.htm">Polynomial Type-C</a></span> </li> <li id="cite_note-48"><span class="mw-cite-backlink"><b><a href="#cite_ref-48">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.jamesh.id.au/fractals/orbit/quadruptwo.html">Quadrup Two Orbit Fractal</a></span> </li> <li id="cite_note-49"><span class="mw-cite-backlink"><b><a href="#cite_ref-49">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.ams.jhu.edu/~castello/391/articles/rikitake.pdf">Rikitake chaotic attractor</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20100620195842/http://www.ams.jhu.edu/~castello/391/articles/rikitake.pdf">Archived</a> 2010-06-20 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-50"><span class="mw-cite-backlink"><b><a href="#cite_ref-50">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.wseas.us/e-library/conferences/2011/Iasi/DYMANOW/DYMANOW-17.pdf">Description of strange attractors using invariants of phase-plane</a></span> </li> <li id="cite_note-51"><span class="mw-cite-backlink"><b><a href="#cite_ref-51">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2011/10/sakarya.html">Skarya</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151222172911/http://jlswbs.blogspot.de/2011/10/sakarya.html">Archived</a> 2015-12-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-52"><span class="mw-cite-backlink"><b><a href="#cite_ref-52">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://math.la.asu.edu/~gardner/Lorenz+Shaw.pdf">Van der Pol Oscillator Equations</a></span> </li> <li id="cite_note-53"><span class="mw-cite-backlink"><b><a href="#cite_ref-53">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2011/10/shaw-pol.html">Shaw-Pol chaotic oscillator</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151222101232/http://jlswbs.blogspot.de/2011/10/shaw-pol.html">Archived</a> 2015-12-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-54"><span class="mw-cite-backlink"><b><a href="#cite_ref-54">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.atomosyd.net/spip.php?article75">The Shimiziu-Morioka System</a></span> </li> <li id="cite_note-55"><span class="mw-cite-backlink"><b><a href="#cite_ref-55">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/">Sprott B chaotic attractor</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20070227172534/http://sprott.physics.wisc.edu/">Archived</a> 2007-02-27 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-56"><span class="mw-cite-backlink"><b><a href="#cite_ref-56">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2011/10/sprott-b.html">Chaos Blog - Sprott B system</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151222080354/http://jlswbs.blogspot.de/2011/10/sprott-b.html">Archived</a> 2015-12-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-57"><span class="mw-cite-backlink"><b><a href="#cite_ref-57">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/">Sprott C chaotic attractor</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20070227172534/http://sprott.physics.wisc.edu/">Archived</a> 2007-02-27 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-58"><span class="mw-cite-backlink"><b><a href="#cite_ref-58">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2011/10/sprott-c.html">Chaos Blog - Sprott C system</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151222110232/http://jlswbs.blogspot.de/2011/10/sprott-c.html">Archived</a> 2015-12-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-59"><span class="mw-cite-backlink"><b><a href="#cite_ref-59">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/">Sprott's Gateway - Sprott-Linz A chaotic attractor</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20070227172534/http://sprott.physics.wisc.edu/">Archived</a> 2007-02-27 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-60"><span class="mw-cite-backlink"><b><a href="#cite_ref-60">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://lsc.amss.ac.cn/~ljh/04LCC.pdf">A new chaotic system and beyond: The generalized Lorenz-like System</a></span> </li> <li id="cite_note-61"><span class="mw-cite-backlink"><b><a href="#cite_ref-61">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2012/02/linz-sprott.html">Chaos Blog - Sprott-Linz A chaotic attractor</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151222105209/http://jlswbs.blogspot.de/2012/02/linz-sprott.html">Archived</a> 2015-12-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-62"><span class="mw-cite-backlink"><b><a href="#cite_ref-62">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/">Sprott's Gateway - Sprott-Linz B chaotic attractor</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20070227172534/http://sprott.physics.wisc.edu/">Archived</a> 2007-02-27 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-63"><span class="mw-cite-backlink"><b><a href="#cite_ref-63">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://lsc.amss.ac.cn/~ljh/04LCC.pdf">A new chaotic system and beyond: The generalized Lorenz-like System</a></span> </li> <li id="cite_note-64"><span class="mw-cite-backlink"><b><a href="#cite_ref-64">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2012/02/sprott-linz-b.html">Chaos Blog - Sprott-Linz B chaotic attractor</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151222131534/http://jlswbs.blogspot.de/2012/02/sprott-linz-b.html">Archived</a> 2015-12-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-65"><span class="mw-cite-backlink"><b><a href="#cite_ref-65">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/">Sprott's Gateway - Sprott-Linz C chaotic attractor</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20070227172534/http://sprott.physics.wisc.edu/">Archived</a> 2007-02-27 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-66"><span class="mw-cite-backlink"><b><a href="#cite_ref-66">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://lsc.amss.ac.cn/~ljh/04LCC.pdf">A new chaotic system and beyond: The generalized Lorenz-like System</a></span> </li> <li id="cite_note-67"><span class="mw-cite-backlink"><b><a href="#cite_ref-67">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2012/02/sprott-linz-c.html">Chaos Blog - Sprott-Linz C chaotic attractor</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151222122051/http://jlswbs.blogspot.de/2012/02/sprott-linz-c.html">Archived</a> 2015-12-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-68"><span class="mw-cite-backlink"><b><a 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href="http://sprott.physics.wisc.edu/">Sprott's Gateway - Sprott-Linz R chaotic attractor</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20070227172534/http://sprott.physics.wisc.edu/">Archived</a> 2007-02-27 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-111"><span class="mw-cite-backlink"><b><a href="#cite_ref-111">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://lsc.amss.ac.cn/~ljh/04LCC.pdf">A new chaotic system and beyond: The generalized Lorenz-like System</a></span> </li> <li id="cite_note-112"><span class="mw-cite-backlink"><b><a href="#cite_ref-112">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2011/10/sprott-r.html">Chaos Blog - Sprott-Linz R chaotic attractor</a> <a rel="nofollow" class="external text" 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System</a></span> </li> <li id="cite_note-115"><span class="mw-cite-backlink"><b><a href="#cite_ref-115">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2012/03/sprott-linz-s.html">Chaos Blog - Sprott-Linz S chaotic attractor</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151222131932/http://jlswbs.blogspot.de/2012/03/sprott-linz-s.html">Archived</a> 2015-12-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-116"><span class="mw-cite-backlink"><b><a href="#cite_ref-116">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://goryachev.bio.ed.ac.uk/Papers/jcp97.pdf">Strizhak-Kawczynski chaotic oscillator</a><sup class="noprint Inline-Template"><span style="white-space: nowrap;">[<i><a href="/wiki/Wikipedia:Link_rot" title="Wikipedia:Link rot"><span title=" Dead link tagged January 2018">permanent dead link</span></a></i><span style="visibility:hidden; color:transparent; padding-left:2px">‍</span>]</span></sup></span> </li> <li id="cite_note-117"><span class="mw-cite-backlink"><b><a href="#cite_ref-117">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://jlswbs.blogspot.de/2011/10/strizhak-kawczynski.html">Chaos Blog - Strizhak-Kawczynski chaotic oscillator</a> <a rel="nofollow" class="external text" href="https://web.archive.org/web/20151222080355/http://jlswbs.blogspot.de/2011/10/strizhak-kawczynski.html">Archived</a> 2015-12-22 at the <a href="/wiki/Wayback_Machine" title="Wayback Machine">Wayback Machine</a></span> </li> <li id="cite_note-118"><span class="mw-cite-backlink"><b><a href="#cite_ref-118">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://sprott.physics.wisc.edu/chaos/symmetry.htm">Sprott's Gateway - A symmetric chaotic flow</a></span> </li> <li id="cite_note-119"><span class="mw-cite-backlink"><b><a href="#cite_ref-119">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFOkulov2020" class="citation journal cs1">Okulov, A. Yu (2020). <a rel="nofollow" class="external text" href="http://doi:10.1016/j.chaos.2020.109638">"Structured light entities, chaos and nonlocal maps"</a>. <i>Chaos, Solitons & Fractals</i>. <b>133</b>: 109638. <a href="/wiki/ArXiv_(identifier)" class="mw-redirect" title="ArXiv (identifier)">arXiv</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://arxiv.org/abs/1901.09274">1901.09274</a></span>. <a href="/wiki/Bibcode_(identifier)" class="mw-redirect" title="Bibcode (identifier)">Bibcode</a>:<a rel="nofollow" class="external text" href="https://ui.adsabs.harvard.edu/abs/2020CSF...13309638O">2020CSF...13309638O</a>. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<a rel="nofollow" class="external text" href="https://doi.org/10.1016%2Fj.chaos.2020.109638">10.1016/j.chaos.2020.109638</a>. <a href="/wiki/S2CID_(identifier)" class="mw-redirect" title="S2CID (identifier)">S2CID</a> <a rel="nofollow" class="external text" href="https://api.semanticscholar.org/CorpusID:247759987">247759987</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Chaos%2C+Solitons+%26+Fractals&rft.atitle=Structured+light+entities%2C+chaos+and+nonlocal+maps&rft.volume=133&rft.pages=109638&rft.date=2020&rft_id=info%3Aarxiv%2F1901.09274&rft_id=https%3A%2F%2Fapi.semanticscholar.org%2FCorpusID%3A247759987%23id-name%3DS2CID&rft_id=info%3Adoi%2F10.1016%2Fj.chaos.2020.109638&rft_id=info%3Abibcode%2F2020CSF...13309638O&rft.aulast=Okulov&rft.aufirst=A.+Yu&rft_id=http%3A%2F%2Fdoi%3A10.1016%2Fj.chaos.2020.109638&rfr_id=info%3Asid%2Fen.wikipedia.org%3AList+of+chaotic+maps" class="Z3988"></span> <span class="cs1-visible-error citation-comment"><code class="cs1-code">{{<a href="/wiki/Template:Cite_journal" title="Template:Cite journal">cite journal</a>}}</code>: </span><span class="cs1-visible-error citation-comment">Check <code class="cs1-code">|url=</code> value (<a href="/wiki/Help:CS1_errors#bad_url" title="Help:CS1 errors">help</a>)</span><sup class="noprint Inline-Template"><span style="white-space: nowrap;">[<i><a href="/wiki/Wikipedia:Link_rot" title="Wikipedia:Link rot"><span title=" Dead link tagged June 2024">permanent dead link</span></a></i><span style="visibility:hidden; color:transparent; padding-left:2px">‍</span>]</span></sup></span> </li> <li id="cite_note-120"><span class="mw-cite-backlink"><b><a href="#cite_ref-120">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFOkulovOraevsky1986" class="citation journal cs1">Okulov, A. 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N. 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color:transparent; padding-left:2px">‍</span>]</span></sup></span> </li> <li id="cite_note-123"><span class="mw-cite-backlink"><b><a href="#cite_ref-123">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external free" href="http://sprott.physics.wisc.edu/chaostsa/">http://sprott.physics.wisc.edu/chaostsa/</a> Sprott's Gateway - Chaos and Time-Series Analysis</span> </li> <li id="cite_note-124"><span class="mw-cite-backlink"><b><a href="#cite_ref-124">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.sgtnd.narod.ru/science/atlas/eng/charts/ueda.htm">Oscillator of Ueda</a></span> </li> <li id="cite_note-125"><span class="mw-cite-backlink"><b><a href="#cite_ref-125">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="http://www.loreto.unican.es/ACurriculum/pre(48)R2351.pdf">Internal fluctuations in a model of chemical chaos</a></span> </li> <li id="cite_note-126"><span class="mw-cite-backlink"><b><a href="#cite_ref-126">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://web.archive.org/web/20110410010408/http://aurora.gmu.edu/projects/index.php?title=Main_Page">"Main Page - Weigel's Research and Teaching Page"</a>. <i>aurora.gmu.edu</i>. 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.navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Chaos_theory" title="Template:Chaos theory"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Chaos_theory" title="Template talk:Chaos theory"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Chaos_theory" title="Special:EditPage/Template:Chaos theory"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Chaos_theory" style="font-size:114%;margin:0 4em"><a href="/wiki/Chaos_theory" title="Chaos theory">Chaos theory</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Concepts</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Core" scope="row" class="navbox-group" style="width:1%"><div style="margin: 10px 0px">Core</div></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Attractor" title="Attractor">Attractor</a></li> <li><a href="/wiki/Bifurcation_theory" title="Bifurcation theory">Bifurcation</a></li> <li><a href="/wiki/Fractal" title="Fractal">Fractal</a></li> <li><a href="/wiki/Limit_set" title="Limit set">Limit set</a></li> <li><a href="/wiki/Lyapunov_exponent" title="Lyapunov exponent">Lyapunov exponent</a></li> <li><a href="/wiki/Orbit_(dynamics)" title="Orbit (dynamics)">Orbit</a></li> <li><a href="/wiki/Periodic_point" title="Periodic point">Periodic point</a></li> <li><a href="/wiki/Phase_space" title="Phase space">Phase space</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Anosov_diffeomorphism" title="Anosov diffeomorphism">Anosov diffeomorphism</a></li> <li><a href="/wiki/Arnold_tongue" title="Arnold tongue">Arnold tongue</a></li> <li><a href="/wiki/Axiom_A" title="Axiom A">axiom A dynamical system</a></li> <li><a href="/wiki/Bifurcation_diagram" title="Bifurcation diagram">Bifurcation diagram</a></li> <li><a href="/wiki/Box-counting_dimension" class="mw-redirect" title="Box-counting dimension">Box-counting dimension</a></li> <li><a href="/wiki/Correlation_dimension" title="Correlation dimension">Correlation dimension</a></li> <li><a href="/wiki/Conservative_system" title="Conservative system">Conservative system</a></li> <li><a href="/wiki/Ergodicity" title="Ergodicity">Ergodicity</a></li> <li><a href="/wiki/False_nearest_neighbors" class="mw-redirect" title="False nearest neighbors">False nearest neighbors</a></li> <li><a href="/wiki/Hausdorff_dimension" title="Hausdorff dimension">Hausdorff dimension</a></li> <li><a href="/wiki/Invariant_measure" title="Invariant measure">Invariant measure</a></li> <li><a href="/wiki/Lyapunov_stability" title="Lyapunov stability">Lyapunov stability</a></li> <li><a href="/wiki/Measure-preserving_dynamical_system" title="Measure-preserving dynamical system">Measure-preserving dynamical system</a></li> <li><a href="/wiki/Mixing_(mathematics)" title="Mixing (mathematics)">Mixing</a></li> <li><a href="/wiki/Poincar%C3%A9_section" class="mw-redirect" title="Poincaré section">Poincaré section</a></li> <li><a href="/wiki/Recurrence_plot" title="Recurrence plot">Recurrence plot</a></li> <li><a href="/wiki/SRB_measure" class="mw-redirect" title="SRB measure">SRB measure</a></li> <li><a href="/wiki/Stable_manifold" title="Stable manifold">Stable manifold</a></li> <li><a href="/wiki/Topological_conjugacy" title="Topological conjugacy">Topological conjugacy</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><div style="margin: 10px 0px">Theorems</div></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ergodic_theory#Ergodic_theorems" title="Ergodic theory">Ergodic theorem</a></li> <li><a href="/wiki/Liouville%27s_theorem_(Hamiltonian)" title="Liouville's theorem (Hamiltonian)">Liouville's theorem</a></li> <li><a href="/wiki/Krylov%E2%80%93Bogolyubov_theorem" title="Krylov–Bogolyubov theorem">Krylov–Bogolyubov theorem</a></li> <li><a href="/wiki/Poincar%C3%A9%E2%80%93Bendixson_theorem" title="Poincaré–Bendixson theorem">Poincaré–Bendixson theorem</a></li> <li><a href="/wiki/Poincar%C3%A9_recurrence_theorem" title="Poincaré recurrence theorem">Poincaré recurrence theorem</a></li> <li><a href="/wiki/Stable_manifold_theorem" title="Stable manifold theorem">Stable manifold theorem</a></li> <li><a href="/wiki/Takens%27s_theorem" title="Takens's theorem">Takens's theorem</a></li></ul> </div></td></tr></tbody></table><div></div></td><td class="noviewer navbox-image" rowspan="6" style="width:1px;padding:0 0 0 2px"><div><span typeof="mw:File"><a href="/wiki/File:C%C3%B4ne_textileII.png" class="mw-file-description" title="Conus textile shell"><img alt="Conus textile shell" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/C%C3%B4ne_textileII.png/100px-C%C3%B4ne_textileII.png" decoding="async" width="100" height="180" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/C%C3%B4ne_textileII.png/150px-C%C3%B4ne_textileII.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ae/C%C3%B4ne_textileII.png/200px-C%C3%B4ne_textileII.png 2x" data-file-width="2344" data-file-height="4211" /></a></span> <p><br /> </p> <span typeof="mw:File"><a href="/wiki/File:Circle_map_poincare_recurrence.jpeg" class="mw-file-description" title="Circle map with black Arnold tongues"><img alt="Circle map with black Arnold tongues" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Circle_map_poincare_recurrence.jpeg/100px-Circle_map_poincare_recurrence.jpeg" decoding="async" width="100" height="200" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Circle_map_poincare_recurrence.jpeg/150px-Circle_map_poincare_recurrence.jpeg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Circle_map_poincare_recurrence.jpeg/200px-Circle_map_poincare_recurrence.jpeg 2x" data-file-width="450" data-file-height="900" /></a></span></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Theoretical<br />branches</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bifurcation_theory" title="Bifurcation theory">Bifurcation theory</a></li> <li><a href="/wiki/Control_of_chaos" title="Control of chaos">Control of chaos</a></li> <li><a href="/wiki/Dynamical_system" title="Dynamical system">Dynamical system</a></li> <li><a href="/wiki/Ergodic_theory" title="Ergodic theory">Ergodic theory</a></li> <li><a href="/wiki/Quantum_chaos" title="Quantum chaos">Quantum chaos</a></li> <li><a href="/wiki/Stability_theory" title="Stability theory">Stability theory</a></li> <li><a href="/wiki/Synchronization_of_chaos" title="Synchronization of chaos">Synchronization of chaos</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Chaotic<br />maps (<a class="mw-selflink selflink">list</a>)</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><div style="margin: 10px 0px">Discrete</div></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Arnold%27s_cat_map" title="Arnold's cat map">Arnold's cat map</a></li> <li><a href="/wiki/Baker%27s_map" title="Baker's map">Baker's map</a></li> <li><a href="/wiki/Complex_quadratic_polynomial" title="Complex quadratic polynomial">Complex quadratic map</a></li> <li><a href="/wiki/Coupled_map_lattice" title="Coupled map lattice">Coupled map lattice</a></li> <li><a href="/wiki/Duffing_map" title="Duffing map">Duffing map</a></li> <li><a href="/wiki/Dyadic_transformation" title="Dyadic transformation">Dyadic transformation</a></li> <li><a href="/wiki/Dynamical_billiards" title="Dynamical billiards">Dynamical billiards</a> <ul><li><a href="/wiki/Outer_billiards" title="Outer billiards">outer</a></li></ul></li> <li><a href="/wiki/Exponential_map_(discrete_dynamical_systems)" title="Exponential map (discrete dynamical systems)">Exponential map</a></li> <li><a href="/wiki/Gauss_iterated_map" title="Gauss iterated map">Gauss map</a></li> <li><a href="/wiki/Gingerbreadman_map" title="Gingerbreadman map">Gingerbreadman map</a></li> <li><a href="/wiki/H%C3%A9non_map" title="Hénon map">Hénon map</a></li> <li><a href="/wiki/Horseshoe_map" title="Horseshoe map">Horseshoe map</a></li> <li><a href="/wiki/Ikeda_map" title="Ikeda map">Ikeda map</a></li> <li><a href="/wiki/Interval_exchange_transformation" title="Interval exchange transformation">Interval exchange map</a></li> <li><a href="/wiki/Irrational_rotation" title="Irrational rotation">Irrational rotation</a></li> <li><a href="/wiki/Kaplan%E2%80%93Yorke_map" title="Kaplan–Yorke map">Kaplan–Yorke map</a></li> <li><a href="/wiki/Langton%27s_ant" title="Langton's ant">Langton's ant</a></li> <li><a href="/wiki/Logistic_map" title="Logistic map">Logistic map</a></li> <li><a href="/wiki/Standard_map" title="Standard map">Standard map</a></li> <li><a href="/wiki/Tent_map" title="Tent map">Tent map</a></li> <li><a href="/wiki/Tinkerbell_map" title="Tinkerbell map">Tinkerbell map</a></li> <li><a href="/wiki/Zaslavskii_map" title="Zaslavskii map">Zaslavskii map</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><div style="margin: 10px 0px">Continuous</div></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Double_scroll_attractor" class="mw-redirect" title="Double scroll attractor">Double scroll attractor</a></li> <li><a href="/wiki/Duffing_equation" title="Duffing equation">Duffing equation</a></li> <li><a href="/wiki/Lorenz_system" title="Lorenz system">Lorenz system</a></li> <li><a href="/wiki/Lotka%E2%80%93Volterra_equations" title="Lotka–Volterra equations">Lotka–Volterra equations</a></li> <li><a href="/wiki/Mackey%E2%80%93Glass_equations" title="Mackey–Glass equations">Mackey–Glass equations</a></li> <li><a href="/wiki/Rabinovich%E2%80%93Fabrikant_equations" title="Rabinovich–Fabrikant equations">Rabinovich–Fabrikant equations</a></li> <li><a href="/wiki/R%C3%B6ssler_attractor" title="Rössler attractor">Rössler attractor</a></li> <li><a href="/wiki/Three-body_problem" title="Three-body problem">Three-body problem</a></li> <li><a href="/wiki/Van_der_Pol_oscillator" title="Van der Pol oscillator">Van der Pol oscillator</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Physical<br />systems</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Chua%27s_circuit" title="Chua's circuit">Chua's circuit</a></li> <li><a href="/wiki/Rayleigh%E2%80%93B%C3%A9nard_convection" title="Rayleigh–Bénard convection">Convection</a></li> <li><a href="/wiki/Double_pendulum" title="Double pendulum">Double pendulum</a></li> <li><a href="/wiki/Elastic_pendulum" title="Elastic pendulum">Elastic pendulum</a></li> <li><a href="/wiki/Fermi%E2%80%93Pasta%E2%80%93Ulam%E2%80%93Tsingou_problem" title="Fermi–Pasta–Ulam–Tsingou problem">FPUT problem</a></li> <li><a href="/wiki/H%C3%A9non%E2%80%93Heiles_system" title="Hénon–Heiles system">Hénon–Heiles system</a></li> <li><a href="/wiki/Kicked_rotator" title="Kicked rotator">Kicked rotator</a></li> <li><a href="/wiki/Multiscroll_attractor" title="Multiscroll attractor">Multiscroll attractor</a></li> <li><a href="/wiki/Population_dynamics" title="Population dynamics">Population dynamics</a></li> <li><a href="/wiki/Swinging_Atwood%27s_machine" title="Swinging Atwood's machine">Swinging Atwood's machine</a></li> <li><a href="/wiki/Tilt-A-Whirl" title="Tilt-A-Whirl">Tilt-A-Whirl</a></li> <li><a href="/wiki/Weather_forecasting" title="Weather forecasting">Weather</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Chaos<br />theorists</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Michael_Berry_(physicist)" title="Michael Berry (physicist)">Michael Berry</a></li> <li><a href="/wiki/Rufus_Bowen" title="Rufus Bowen">Rufus Bowen</a></li> <li><a href="/wiki/Mary_Cartwright" title="Mary Cartwright">Mary Cartwright</a></li> <li><a href="/wiki/Chen_Guanrong" title="Chen Guanrong">Chen Guanrong</a></li> <li><a href="/wiki/Leon_O._Chua" title="Leon O. Chua">Leon O. Chua</a></li> <li><a href="/wiki/Mitchell_Feigenbaum" title="Mitchell Feigenbaum">Mitchell Feigenbaum</a></li> <li><a href="/wiki/Peter_Grassberger" title="Peter Grassberger">Peter Grassberger</a></li> <li><a href="/wiki/Celso_Grebogi" title="Celso Grebogi">Celso Grebogi</a></li> <li><a href="/wiki/Martin_Gutzwiller" title="Martin Gutzwiller">Martin Gutzwiller</a></li> <li><a href="/wiki/Brosl_Hasslacher" title="Brosl Hasslacher">Brosl Hasslacher</a></li> <li><a href="/wiki/Michel_H%C3%A9non" title="Michel Hénon">Michel Hénon</a></li> <li><a href="/wiki/Svetlana_Jitomirskaya" title="Svetlana Jitomirskaya">Svetlana Jitomirskaya</a></li> <li><a href="/wiki/Bryna_Kra" title="Bryna Kra">Bryna Kra</a></li> <li><a href="/wiki/Edward_Norton_Lorenz" title="Edward Norton Lorenz">Edward Norton Lorenz</a></li> <li><a href="/wiki/Aleksandr_Lyapunov" title="Aleksandr Lyapunov">Aleksandr Lyapunov</a></li> <li><a href="/wiki/Benoit_Mandelbrot" title="Benoit Mandelbrot">Benoît Mandelbrot</a></li> <li><a href="/wiki/Hee_Oh" title="Hee Oh">Hee Oh</a></li> <li><a href="/wiki/Edward_Ott" title="Edward Ott">Edward Ott</a></li> <li><a href="/wiki/Henri_Poincar%C3%A9" title="Henri Poincaré">Henri Poincaré</a></li> <li><a href="/wiki/Itamar_Procaccia" title="Itamar Procaccia">Itamar Procaccia</a></li> <li><a href="/wiki/Mary_Rees" title="Mary Rees">Mary Rees</a></li> <li><a href="/wiki/Otto_R%C3%B6ssler" title="Otto Rössler">Otto Rössler</a></li> <li><a href="/wiki/David_Ruelle" title="David Ruelle">David Ruelle</a></li> <li><a href="/wiki/Caroline_Series" title="Caroline Series">Caroline Series</a></li> <li><a href="/wiki/Yakov_Sinai" title="Yakov Sinai">Yakov Sinai</a></li> <li><a href="/wiki/Oleksandr_Mykolayovych_Sharkovsky" class="mw-redirect" title="Oleksandr Mykolayovych Sharkovsky">Oleksandr Mykolayovych Sharkovsky</a></li> <li><a href="/wiki/Nina_Snaith" title="Nina Snaith">Nina Snaith</a></li> <li><a href="/wiki/Floris_Takens" title="Floris Takens">Floris Takens</a></li> <li><a href="/wiki/Audrey_Terras" title="Audrey Terras">Audrey Terras</a></li> <li><a href="/wiki/Mary_Tsingou" title="Mary Tsingou">Mary Tsingou</a></li> <li><a href="/wiki/Marcelo_Viana" title="Marcelo Viana">Marcelo Viana</a></li> <li><a href="/wiki/Amie_Wilkinson" title="Amie Wilkinson">Amie Wilkinson</a></li> <li><a href="/wiki/James_A._Yorke" title="James A. Yorke">James A. Yorke</a></li> <li><a href="/wiki/Lai-Sang_Young" title="Lai-Sang Young">Lai-Sang Young</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related<br />articles</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Butterfly_effect" title="Butterfly effect">Butterfly effect</a></li> <li><a href="/wiki/Complexity" title="Complexity">Complexity</a></li> <li><a href="/wiki/Edge_of_chaos" title="Edge of chaos">Edge of chaos</a></li> <li><a href="/wiki/Predictability" title="Predictability">Predictability</a></li> <li><a href="/wiki/Santa_Fe_Institute" title="Santa Fe Institute">Santa Fe Institute</a></li></ul> </div></td></tr></tbody></table></div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?type=1x1&useformat=desktop" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Retrieved from "<a dir="ltr" href="https://en.wikipedia.org/w/index.php?title=List_of_chaotic_maps&oldid=1228747761">https://en.wikipedia.org/w/index.php?title=List_of_chaotic_maps&oldid=1228747761</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Help:Category" title="Help:Category">Categories</a>: <ul><li><a href="/wiki/Category:Chaotic_maps" title="Category:Chaotic maps">Chaotic maps</a></li><li><a href="/wiki/Category:Mathematics-related_lists" title="Category:Mathematics-related lists">Mathematics-related lists</a></li></ul></div><div id="mw-hidden-catlinks" class="mw-hidden-catlinks mw-hidden-cats-hidden">Hidden categories: <ul><li><a href="/wiki/Category:All_articles_with_dead_external_links" title="Category:All articles with dead external links">All articles with dead external links</a></li><li><a href="/wiki/Category:Articles_with_dead_external_links_from_March_2020" title="Category:Articles with dead external links from March 2020">Articles with dead external links from March 2020</a></li><li><a href="/wiki/Category:Articles_with_permanently_dead_external_links" title="Category:Articles with permanently dead external links">Articles with permanently dead external links</a></li><li><a href="/wiki/Category:Webarchive_template_wayback_links" title="Category:Webarchive template wayback links">Webarchive template wayback links</a></li><li><a href="/wiki/Category:Articles_with_dead_external_links_from_January_2018" title="Category:Articles with dead external links from January 2018">Articles with dead external links from January 2018</a></li><li><a href="/wiki/Category:CS1_errors:_URL" title="Category:CS1 errors: URL">CS1 errors: URL</a></li><li><a href="/wiki/Category:Articles_with_dead_external_links_from_June_2024" title="Category:Articles with dead external links from June 2024">Articles with dead external links from June 2024</a></li><li><a href="/wiki/Category:Articles_with_short_description" title="Category:Articles with short description">Articles with short description</a></li><li><a href="/wiki/Category:Short_description_is_different_from_Wikidata" title="Category:Short description is different from Wikidata">Short description is different from Wikidata</a></li><li><a href="/wiki/Category:All_articles_with_unsourced_statements" title="Category:All articles with unsourced statements">All articles with unsourced statements</a></li><li><a href="/wiki/Category:Articles_with_unsourced_statements_from_November_2019" title="Category:Articles with unsourced statements from November 2019">Articles with unsourced statements from November 2019</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> This page was last edited on 12 June 2024, at 23:43<span class="anonymous-show"> (UTC)</span>.</li> <li id="footer-info-copyright">Text is available under the <a href="/wiki/Wikipedia:Text_of_the_Creative_Commons_Attribution-ShareAlike_4.0_International_License" title="Wikipedia:Text of the Creative Commons Attribution-ShareAlike 4.0 International License">Creative Commons Attribution-ShareAlike 4.0 License</a>; additional terms may apply. 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