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Chaos</title> <meta name="description" content="Search results for: Chaos"> <meta name="keywords" content="Chaos"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler ml-auto" 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<i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="Chaos"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 70</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: Chaos</h1> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">70</span> Dense Chaos in Coupled Map Lattices</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Tianxiu%20Lu">Tianxiu Lu</a>, <a href="https://publications.waset.org/search?q=Peiyong%20Zhu"> Peiyong Zhu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper is mainly concerned with a kind of coupled map lattices (CMLs). New definitions of dense δ-chaos and dense chaos (which is a special case of dense δ-chaos with δ = 0) in discrete spatiotemporal systems are given and sufficient conditions for these systems to be densely chaotic or densely δ-chaotic are derived.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Discrete%20spatiotemporal%20systems" title="Discrete spatiotemporal systems">Discrete spatiotemporal systems</a>, <a href="https://publications.waset.org/search?q=coupled%20map%20lattices" title=" coupled map lattices"> coupled map lattices</a>, <a href="https://publications.waset.org/search?q=dense%20%CE%B4-chaos" title=" dense δ-chaos"> dense δ-chaos</a>, <a href="https://publications.waset.org/search?q=Li-Yorke%20pairs." title=" Li-Yorke pairs."> Li-Yorke pairs.</a> </p> <a href="https://publications.waset.org/17059/dense-chaos-in-coupled-map-lattices" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/17059/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/17059/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/17059/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/17059/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/17059/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/17059/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/17059/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/17059/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/17059/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/17059/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/17059.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1652</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">69</span> Chaos Synchronization Using Sliding Mode Technique</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Behzad%20Khademian">Behzad Khademian</a>, <a href="https://publications.waset.org/search?q=Mohammad%20Haeri"> Mohammad Haeri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, an effective sliding mode design is applied to chaos synchronization. The proposed controller can make the states of two identical modified Chua-s circuits globally asymptotically synchronized. Numerical results are provided to show the effectiveness and robustness of the proposed method. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Sliding%20mode" title="Sliding mode">Sliding mode</a>, <a href="https://publications.waset.org/search?q=Chaos%20synchronization" title=" Chaos synchronization"> Chaos synchronization</a>, <a href="https://publications.waset.org/search?q=Modified%0D%0AChua%27s%20circuit." title=" Modified Chua's circuit."> Modified Chua's circuit.</a> </p> <a href="https://publications.waset.org/9757/chaos-synchronization-using-sliding-mode-technique" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9757/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9757/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9757/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9757/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9757/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9757/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9757/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9757/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9757/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9757/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9757.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1287</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">68</span> Robust Conversion of Chaos into an Arbitrary Periodic Motion</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Abolhassan%20Razminia">Abolhassan Razminia</a>, <a href="https://publications.waset.org/search?q=Mohammad-Ali%20Sadrnia"> Mohammad-Ali Sadrnia</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>One of the most attractive and important field of chaos theory is control of chaos. In this paper, we try to present a simple framework for chaotic motion control using the feedback linearization method. Using this approach, we derive a strategy, which can be easily applied to the other chaotic systems. This task presents two novel results: the desired periodic orbit need not be a solution of the original dynamics and the other is the robustness of response against parameter variations. The illustrated simulations show the ability of these. In addition, by a comparison between a conventional state feedback and our proposed method it is demonstrated that the introduced technique is more efficient.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=chaos" title="chaos">chaos</a>, <a href="https://publications.waset.org/search?q=feedback%20linearization" title=" feedback linearization"> feedback linearization</a>, <a href="https://publications.waset.org/search?q=robust%20control" title=" robust control"> robust control</a>, <a href="https://publications.waset.org/search?q=periodic%20motion." title="periodic motion.">periodic motion.</a> </p> <a href="https://publications.waset.org/10775/robust-conversion-of-chaos-into-an-arbitrary-periodic-motion" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10775/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10775/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10775/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10775/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10775/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10775/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10775/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10775/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10775/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10775/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10775.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1697</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">67</span> Observer Design for Chaos Synchronization of Time-delayed Power Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Jui-Sheng%20Lin">Jui-Sheng Lin</a>, <a href="https://publications.waset.org/search?q=Yi-Sung%20Yang"> Yi-Sung Yang</a>, <a href="https://publications.waset.org/search?q=Meei-Ling%20Hung"> Meei-Ling Hung</a>, <a href="https://publications.waset.org/search?q=Teh-Lu%20Liao"> Teh-Lu Liao</a>, <a href="https://publications.waset.org/search?q=Jun-Juh%20Yan"> Jun-Juh Yan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The global chaos synchronization for a class of time-delayed power systems is investigated via observer-based approach. By employing the concepts of quadratic stability theory and generalized system model, a new sufficient criterion for constructing an observer is deduced. In contrast to the previous works, this paper proposes a theoretical and systematic design procedure to realize chaos synchronization for master-slave power systems. Finally, an illustrative example is given to show the applicability of the obtained scheme.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Chaos" title="Chaos">Chaos</a>, <a href="https://publications.waset.org/search?q=Synchronization" title=" Synchronization"> Synchronization</a>, <a href="https://publications.waset.org/search?q=Quadratic%20stability%20theory" title=" Quadratic stability theory"> Quadratic stability theory</a>, <a href="https://publications.waset.org/search?q=Observer" title=" Observer"> Observer</a> </p> <a href="https://publications.waset.org/9253/observer-design-for-chaos-synchronization-of-time-delayed-power-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9253/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9253/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9253/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9253/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9253/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9253/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9253/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9253/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9253/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9253/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9253.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1721</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">66</span> PSS and SVC Controller Design by Chaos and PSO Algorithms to Enhancing the Power System Stability</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Saeed%20jalilzadeh">Saeed jalilzadeh</a>, <a href="https://publications.waset.org/search?q=Mohammad%20Reza%20Safari%20Tirtashi"> Mohammad Reza Safari Tirtashi</a>, <a href="https://publications.waset.org/search?q=Mohsen%20Sadeghi"> Mohsen Sadeghi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> this paper focuses on designing of PSS and SVC controller based on chaos and PSO algorithms to improve the stability of power system. Single machine infinite bus (SMIB) system with SVC located at the terminal of generator has been considered to evaluate the proposed controllers where both SVC and PSS have the same controller. The coefficients of PSS and SVC controller have been optimized by chaos and PSO algorithms. Finally the system with proposed controllers has been simulated for the special disturbance in input power of generator, and then the dynamic responses of generator have been presented. The simulation results showed that the system composed with recommended controller has outstanding operation in fast damping of oscillations of power system. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=PSS" title="PSS">PSS</a>, <a href="https://publications.waset.org/search?q=CHAOS" title="CHAOS">CHAOS</a>, <a href="https://publications.waset.org/search?q=PSO" title="PSO">PSO</a>, <a href="https://publications.waset.org/search?q=Stability" title="Stability">Stability</a> </p> <a href="https://publications.waset.org/12232/pss-and-svc-controller-design-by-chaos-and-pso-algorithms-to-enhancing-the-power-system-stability" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12232/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12232/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12232/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12232/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12232/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12232/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12232/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12232/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12232/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12232/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12232.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1655</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">65</span> Anti-Synchronization of two Different Chaotic Systems via Active Control</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Amir%20Abbas%20Emadzadeh">Amir Abbas Emadzadeh</a>, <a href="https://publications.waset.org/search?q=Mohammad%20Haeri"> Mohammad Haeri</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper presents anti-synchronization of chaos between two different chaotic systems using active control method. The proposed technique is applied to achieve chaos antisynchronization for the Lü and Rössler dynamical systems. Numerical simulations are implemented to verify the results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Active%20control" title="Active control">Active control</a>, <a href="https://publications.waset.org/search?q=Anti-Synchronization" title=" Anti-Synchronization"> Anti-Synchronization</a>, <a href="https://publications.waset.org/search?q=Chaos" title=" Chaos"> Chaos</a>, <a href="https://publications.waset.org/search?q=L%C3%BC%20system" title=" Lü system"> Lü system</a>, <a href="https://publications.waset.org/search?q=R%C3%B6ssler%20system." title=" Rössler system."> Rössler system.</a> </p> <a href="https://publications.waset.org/10099/anti-synchronization-of-two-different-chaotic-systems-via-active-control" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10099/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10099/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10099/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10099/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10099/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10099/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10099/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10099/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10099/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10099/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10099.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1913</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">64</span> On Deterministic Chaos: Disclosing the Missing Mathematics from the Lorenz-Haken Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Belkacem%20Meziane">Belkacem Meziane</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The original 3D Lorenz-Haken equations -which describe laser dynamics- are converted into 2-second-order differential equations out of which the so far missing mathematics is extracted. Leaning on high-order trigonometry, important outcomes are pulled out: A fundamental result attributes chaos to forbidden periodic solutions, inside some precisely delimited region of the control parameter space that governs self-pulsing.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=chaos" title="chaos">chaos</a>, <a href="https://publications.waset.org/search?q=Lorenz-Haken%20equations" title=" Lorenz-Haken equations"> Lorenz-Haken equations</a>, <a href="https://publications.waset.org/search?q=laser%20dynamics" title=" laser dynamics"> laser dynamics</a>, <a href="https://publications.waset.org/search?q=nonlinearities" title=" nonlinearities"> nonlinearities</a> </p> <a href="https://publications.waset.org/10012388/on-deterministic-chaos-disclosing-the-missing-mathematics-from-the-lorenz-haken-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10012388/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10012388/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10012388/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10012388/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10012388/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10012388/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10012388/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10012388/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10012388/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10012388/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10012388.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">610</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">63</span> A Necessary Condition for the Existence of Chaos in Fractional Order Delay Differential Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Sachin%20Bhalekar">Sachin Bhalekar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper we propose a necessary condition for the existence of chaos in delay differential equations of fractional order. To explain the proposed theory, we discuss fractional order Liu system and financial system involving delay.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Caputo%20derivative" title="Caputo derivative">Caputo derivative</a>, <a href="https://publications.waset.org/search?q=delay" title=" delay"> delay</a>, <a href="https://publications.waset.org/search?q=stability" title=" stability"> stability</a>, <a href="https://publications.waset.org/search?q=chaos." title=" chaos."> chaos.</a> </p> <a href="https://publications.waset.org/16807/a-necessary-condition-for-the-existence-of-chaos-in-fractional-order-delay-differential-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16807/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16807/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16807/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16807/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16807/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16807/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16807/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16807/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16807/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16807/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16807.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2665</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">62</span> Synchronization of Chaos in a Food Web in Ecological Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Anuraj%20Singh">Anuraj Singh</a>, <a href="https://publications.waset.org/search?q=Sunita%20Gakkhar"> Sunita Gakkhar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>The three-species food web model proposed and investigated by Gakkhar and Naji is known to have chaotic behaviour for a choice of parameters. An attempt has been made to synchronize the chaos in the model using bidirectional coupling. Numerical simulations are presented to demonstrate the effectiveness and feasibility of the analytical results. Numerical results show that for higher value of coupling strength, chaotic synchronization is achieved. Chaos can be controlled to achieve stable synchronization in natural systems.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Lyapunov%20Exponent" title="Lyapunov Exponent">Lyapunov Exponent</a>, <a href="https://publications.waset.org/search?q=Bidirectional%20Coupling" title=" Bidirectional Coupling"> Bidirectional Coupling</a>, <a href="https://publications.waset.org/search?q=ChaosSynchronization" title=" ChaosSynchronization"> ChaosSynchronization</a>, <a href="https://publications.waset.org/search?q=Synchronization%20Manifold" title=" Synchronization Manifold"> Synchronization Manifold</a> </p> <a href="https://publications.waset.org/14852/synchronization-of-chaos-in-a-food-web-in-ecological-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14852/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14852/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14852/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14852/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14852/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14852/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14852/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14852/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14852/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14852/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14852.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1307</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">61</span> Linear Cryptanalysis for a Chaos-Based Stream Cipher</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Ruming%20Yin">Ruming Yin</a>, <a href="https://publications.waset.org/search?q=Jian%20Yuan"> Jian Yuan</a>, <a href="https://publications.waset.org/search?q=Qiuhua%20Yang"> Qiuhua Yang</a>, <a href="https://publications.waset.org/search?q=Xiuming%20Shan"> Xiuming Shan</a>, <a href="https://publications.waset.org/search?q=Xiqin%20Wang"> Xiqin Wang</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Linear cryptanalysis methods are rarely used to improve the security of chaotic stream ciphers. In this paper, we apply linear cryptanalysis to a chaotic stream cipher which was designed by strictly using the basic design criterion of cryptosystem – confusion and diffusion. We show that this well-designed chaos-based stream cipher is still insecure against distinguishing attack. This distinguishing attack promotes the further improvement of the cipher.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Stream%20cipher" title="Stream cipher">Stream cipher</a>, <a href="https://publications.waset.org/search?q=chaos" title=" chaos"> chaos</a>, <a href="https://publications.waset.org/search?q=linear%20cryptanalysis" title=" linear cryptanalysis"> linear cryptanalysis</a>, <a href="https://publications.waset.org/search?q=distinguishing%20attack." title=" distinguishing attack."> distinguishing attack.</a> </p> <a href="https://publications.waset.org/12215/linear-cryptanalysis-for-a-chaos-based-stream-cipher" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12215/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12215/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12215/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12215/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12215/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12215/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12215/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12215/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12215/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12215/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12215.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1752</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">60</span> Chaotic Dynamics of Cost Overruns in Oil and Gas Megaprojects: A Review</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=O.%20J.%20Olaniran">O. J. Olaniran</a>, <a href="https://publications.waset.org/search?q=P.%20E.%20D.%20Love"> P. E. D. Love</a>, <a href="https://publications.waset.org/search?q=D.%20J.%20Edwards"> D. J. Edwards</a>, <a href="https://publications.waset.org/search?q=O.%20Olatunji"> O. Olatunji</a>, <a href="https://publications.waset.org/search?q=J.%20Matthews"> J. Matthews</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Cost overruns are a persistent problem in oil and gas megaprojects. Whilst the extant literature is filled with studies on incidents and causes of cost overruns, underlying theories to explain their emergence in oil and gas megaprojects are few. Yet, a way to contain the syndrome of cost overruns is to understand the bases of ‘how and why’ they occur. Such knowledge will also help to develop pragmatic techniques for better overall management of oil and gas megaprojects. The aim of this paper is to explain the development of cost overruns in hydrocarbon megaprojects through the perspective of chaos theory. The underlying principles of chaos theory and its implications for cost overruns are examined and practical recommendations proposed. In addition, directions for future research in this fertile area provided. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Chaos%20theory" title="Chaos theory">Chaos theory</a>, <a href="https://publications.waset.org/search?q=oil%20and%20gas" title=" oil and gas"> oil and gas</a>, <a href="https://publications.waset.org/search?q=cost%20overruns" title=" cost overruns"> cost overruns</a>, <a href="https://publications.waset.org/search?q=megaprojects." title=" megaprojects."> megaprojects.</a> </p> <a href="https://publications.waset.org/10002818/chaotic-dynamics-of-cost-overruns-in-oil-and-gas-megaprojects-a-review" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10002818/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10002818/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10002818/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10002818/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10002818/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10002818/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10002818/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10002818/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10002818/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10002818/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10002818.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2336</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">59</span> Chua’s Circuit Regulation Using a Nonlinear Adaptive Feedback Technique</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Abolhassan%20Razminia">Abolhassan Razminia</a>, <a href="https://publications.waset.org/search?q=Mohammad-Ali%20Sadrnia"> Mohammad-Ali Sadrnia</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Chua’s circuit is one of the most important electronic devices that are used for Chaos and Bifurcation studies. A central role of secure communication is devoted to it. Since the adaptive control is used vastly in the linear systems control, here we introduce a new trend of application of adaptive method in the chaos controlling field. In this paper, we try to derive a new adaptive control scheme for Chua’s circuit controlling because control of chaos is often very important in practical operations. The novelty of this approach is for sake of its robustness against the external perturbations which is simulated as an additive noise in all measured states and can be generalized to other chaotic systems. Our approach is based on Lyapunov analysis and the adaptation law is considered for the feedback gain. Because of this, we have named it NAFT (Nonlinear Adaptive Feedback Technique). At last, simulations show the capability of the presented technique for Chua’s circuit.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Chaos" title="Chaos">Chaos</a>, <a href="https://publications.waset.org/search?q=adaptive%20control" title=" adaptive control"> adaptive control</a>, <a href="https://publications.waset.org/search?q=nonlinear%20control" title=" nonlinear control"> nonlinear control</a>, <a href="https://publications.waset.org/search?q=Chua%27s%20circuit." title=" Chua's circuit."> Chua's circuit.</a> </p> <a href="https://publications.waset.org/3101/chuas-circuit-regulation-using-a-nonlinear-adaptive-feedback-technique" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/3101/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/3101/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/3101/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/3101/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/3101/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/3101/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/3101/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/3101/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/3101/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/3101/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/3101.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2065</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">58</span> Chaos-based Secure Communication via Continuous Variable Structure Control</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Cheng-Fang%20Huang">Cheng-Fang Huang</a>, <a href="https://publications.waset.org/search?q=Meei-Ling%20Hung"> Meei-Ling Hung</a>, <a href="https://publications.waset.org/search?q=Teh-Lu%20Liao"> Teh-Lu Liao</a>, <a href="https://publications.waset.org/search?q=Her-Terng%20Yau"> Her-Terng Yau</a>, <a href="https://publications.waset.org/search?q=Jun-Juh%20Yan"> Jun-Juh Yan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The design of chaos-based secure communication via synchronized modified Chua-s systems is investigated in this paper. A continuous control law is proposed to ensure synchronization of the master and slave modified Chua-s systems by using the variable structure control technique. Particularly, the concept of extended systems is introduced such that a continuous control input is obtained to avoid chattering phenomenon. Then, it becomes possible to ensure that the message signal embedded in the transmitter can be recovered in the receiver. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Chaos" title="Chaos">Chaos</a>, <a href="https://publications.waset.org/search?q=Secure%20communication" title=" Secure communication"> Secure communication</a>, <a href="https://publications.waset.org/search?q=Synchronization" title=" Synchronization"> Synchronization</a>, <a href="https://publications.waset.org/search?q=Variable%20structure%20control%20%28VSC%29" title="Variable structure control (VSC)">Variable structure control (VSC)</a> </p> <a href="https://publications.waset.org/13741/chaos-based-secure-communication-via-continuous-variable-structure-control" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/13741/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/13741/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/13741/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/13741/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/13741/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/13741/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/13741/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/13741/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/13741/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/13741/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/13741.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1434</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">57</span> Solving SPDEs by a Least Squares Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Hassan%20Manouzi">Hassan Manouzi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>We present in this paper a useful strategy to solve stochastic partial differential equations (SPDEs) involving stochastic coefficients. Using the Wick-product of higher order and the Wiener-It&circ;o chaos expansion, the SPDEs is reformulated as a large system of deterministic partial differential equations. To reduce the computational complexity of this system, we shall use a decomposition-coordination method. To obtain the chaos coefficients in the corresponding deterministic equations, we use a least square formulation. Once this approximation is performed, the statistics of the numerical solution can be easily evaluated.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Least%20squares" title="Least squares">Least squares</a>, <a href="https://publications.waset.org/search?q=Wick%20product" title=" Wick product"> Wick product</a>, <a href="https://publications.waset.org/search?q=SPDEs" title=" SPDEs"> SPDEs</a>, <a href="https://publications.waset.org/search?q=finite%20element" title=" finite element"> finite element</a>, <a href="https://publications.waset.org/search?q=Wiener%20chaos%20expansion" title=" Wiener chaos expansion"> Wiener chaos expansion</a>, <a href="https://publications.waset.org/search?q=gradient%20method." title=" gradient method."> gradient method.</a> </p> <a href="https://publications.waset.org/9997268/solving-spdes-by-a-least-squares-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997268/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9997268/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9997268/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9997268/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9997268/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9997268/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9997268/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9997268/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9997268/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9997268/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9997268.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1801</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">56</span> Behavior of Solutions of the System of Recurrence Equations Based on the Verhulst-Pearl Model</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Vladislav%20N.%20Dumachev">Vladislav N. Dumachev</a>, <a href="https://publications.waset.org/search?q=Vladimir%20A.%20Rodin"> Vladimir A. Rodin</a> </p> <p class="card-text"><strong>Abstract:</strong></p> By utilizing the system of the recurrence equations, containing two parameters, the dynamics of two antagonistically interconnected populations is studied. The following areas of the system behavior are detected: the area of the stable solutions, the area of cyclic solutions occurrence, the area of the accidental change of trajectories of solutions, and the area of chaos and fractal phenomena. The new two-dimensional diagram of the dynamics of the solutions change (the fractal cabbage) has been obtained. In the cross-section of this diagram for one of the equations the well-known Feigenbaum tree of doubling has been noted.Keywordsbifurcation, chaos, dynamics of populations, fractals <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=bifurcation" title="bifurcation">bifurcation</a>, <a href="https://publications.waset.org/search?q=chaos" title=" chaos"> chaos</a>, <a href="https://publications.waset.org/search?q=dynamics%20of%20populations" title=" dynamics of populations"> dynamics of populations</a>, <a href="https://publications.waset.org/search?q=fractals" title=" fractals"> fractals</a> </p> <a href="https://publications.waset.org/12841/behavior-of-solutions-of-the-system-of-recurrence-equations-based-on-the-verhulst-pearl-model" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/12841/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/12841/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/12841/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/12841/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/12841/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/12841/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/12841/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/12841/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/12841/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/12841/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/12841.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1277</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">55</span> Investigation of a Transition from Steady Convection to Chaos in Porous Media Using Piecewise Variational Iteration Method</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mohamed%20M.%20Mousa">Mohamed M. Mousa</a>, <a href="https://publications.waset.org/search?q=Aidarkhan%20Kaltayev%20Shahwar%20F.%20Ragab"> Aidarkhan Kaltayev Shahwar F. Ragab</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper, a new dependable algorithm based on an adaptation of the standard variational iteration method (VIM) is used for analyzing the transition from steady convection to chaos for lowto-intermediate Rayleigh numbers convection in porous media. The solution trajectories show the transition from steady convection to chaos that occurs at a slightly subcritical value of Rayleigh number, the critical value being associated with the loss of linear stability of the steady convection solution. The VIM is treated as an algorithm in a sequence of intervals for finding accurate approximate solutions to the considered model and other dynamical systems. We shall call this technique as the piecewise VIM. Numerical comparisons between the piecewise VIM and the classical fourth-order Runge–Kutta (RK4) numerical solutions reveal that the proposed technique is a promising tool for the nonlinear chaotic and nonchaotic systems.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Variational%20iteration%20method" title="Variational iteration method">Variational iteration method</a>, <a href="https://publications.waset.org/search?q=free%20convection" title=" free convection"> free convection</a>, <a href="https://publications.waset.org/search?q=Chaos" title=" Chaos"> Chaos</a>, <a href="https://publications.waset.org/search?q=Lorenz%20equations." title=" Lorenz equations."> Lorenz equations.</a> </p> <a href="https://publications.waset.org/6226/investigation-of-a-transition-from-steady-convection-to-chaos-in-porous-media-using-piecewise-variational-iteration-method" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/6226/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/6226/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/6226/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/6226/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/6226/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/6226/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/6226/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/6226/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/6226/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/6226/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/6226.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1535</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">54</span> Neural Network Learning Based on Chaos</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Truong%20Quang%20Dang%20Khoa">Truong Quang Dang Khoa</a>, <a href="https://publications.waset.org/search?q=Masahiro%20Nakagawa"> Masahiro Nakagawa</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Chaos and fractals are novel fields of physics and mathematics showing up a new way of universe viewpoint and creating many ideas to solve several present problems. In this paper, a novel algorithm based on the chaotic sequence generator with the highest ability to adapt and reach the global optima is proposed. The adaptive ability of proposal algorithm is flexible in 2 steps. The first one is a breadth-first search and the second one is a depth-first search. The proposal algorithm is examined by 2 functions, the Camel function and the Schaffer function. Furthermore, the proposal algorithm is applied to optimize training Multilayer Neural Networks.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=learning%20and%20evolutionary%20computing" title="learning and evolutionary computing">learning and evolutionary computing</a>, <a href="https://publications.waset.org/search?q=Chaos%20Optimization%20Algorithm" title=" Chaos Optimization Algorithm"> Chaos Optimization Algorithm</a>, <a href="https://publications.waset.org/search?q=Artificial%20Neural%20Networks" title=" Artificial Neural Networks"> Artificial Neural Networks</a>, <a href="https://publications.waset.org/search?q=nonlinear%20optimization" title=" nonlinear optimization"> nonlinear optimization</a>, <a href="https://publications.waset.org/search?q=intelligent%20computational%20technologies." title=" intelligent computational technologies."> intelligent computational technologies.</a> </p> <a href="https://publications.waset.org/2610/neural-network-learning-based-on-chaos" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/2610/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/2610/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/2610/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/2610/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/2610/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/2610/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/2610/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/2610/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/2610/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/2610/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/2610.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1780</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">53</span> Investigation of Chaotic Behavior in DC-DC Converters</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Sajid%20Iqbal">Sajid Iqbal</a>, <a href="https://publications.waset.org/search?q=Masood%20Ahmed"> Masood Ahmed</a>, <a href="https://publications.waset.org/search?q=Suhail%20Aftab%20Qureshi"> Suhail Aftab Qureshi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>DC-DC converters are widely used in regulated switched mode power supplies and in DC motor drive applications. There are several sources of unwanted nonlinearity in practical power converters. In addition, their operation is characterized by switching that gives birth to a variety of nonlinear dynamics. DC-DC buck and boost converters controlled by pulse-width modulation (PWM) have been simulated. The voltage waveforms and attractors obtained from the circuit simulation have been studied. With the onset of instability, the phenomenon of subharmonic oscillations, quasi-periodicity, bifurcations, and chaos have been observed. This paper is mainly motivated by potential contributions of chaos theory in the design, analysis and control of power converters, in particular and power electronics circuits, in general.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Buck%20converter" title="Buck converter">Buck converter</a>, <a href="https://publications.waset.org/search?q=boost%20converter" title=" boost converter"> boost converter</a>, <a href="https://publications.waset.org/search?q=period-%20doubling" title=" period- doubling"> period- doubling</a>, <a href="https://publications.waset.org/search?q=chaos" title=" chaos"> chaos</a>, <a href="https://publications.waset.org/search?q=bifurcation" title=" bifurcation"> bifurcation</a>, <a href="https://publications.waset.org/search?q=strange%20attractor." title=" strange attractor."> strange attractor.</a> </p> <a href="https://publications.waset.org/14418/investigation-of-chaotic-behavior-in-dc-dc-converters" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14418/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14418/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14418/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14418/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14418/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14418/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14418/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14418/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14418/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14418/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14418.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">3649</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">52</span> Identifying Chaotic Architecture: Origins of Nonlinear Design Theory</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mohammadsadegh%20Zanganehfar">Mohammadsadegh Zanganehfar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Through the emergence of modern architecture, an aggressive desire for new design theories appeared through the works of architects and critics. The discourse of complexity and volumetric composition happened to be an important and controversial issue in the discipline of architecture which was discussed through a general point of view in Robert Venturi and Denise Scott Brown's book “Complexity and contradiction in architecture” in 1966, this paper attempts to identify chaos theory as a scientific model of complexity and its relation to architecture design theory by conducting a qualitative analysis and multidisciplinary critical approach through architecture and basic sciences resources. Accordingly, we identify chaotic architecture as the correlation between chaos theory and the discipline of architecture, and as an independent nonlinear design theory with specific characteristics and properties.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Architecture%20complexity" title="Architecture complexity">Architecture complexity</a>, <a href="https://publications.waset.org/search?q=chaos%20theory" title=" chaos theory"> chaos theory</a>, <a href="https://publications.waset.org/search?q=fractals" title=" fractals"> fractals</a>, <a href="https://publications.waset.org/search?q=nonlinear%20dynamic%20systems" title=" nonlinear dynamic systems"> nonlinear dynamic systems</a>, <a href="https://publications.waset.org/search?q=nonlinear%20ontology." title=" nonlinear ontology."> nonlinear ontology.</a> </p> <a href="https://publications.waset.org/10012445/identifying-chaotic-architecture-origins-of-nonlinear-design-theory" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10012445/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10012445/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10012445/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10012445/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10012445/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10012445/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10012445/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10012445/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10012445/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10012445/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10012445.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1075</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">51</span> Particle Filter Applied to Noisy Synchronization in Polynomial Chaotic Maps</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Moussa%20Yahia">Moussa Yahia</a>, <a href="https://publications.waset.org/search?q=Pascal%20Acco"> Pascal Acco</a>, <a href="https://publications.waset.org/search?q=Malek%20Benslama"> Malek Benslama</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Polynomial maps offer analytical properties used to obtain better performances in the scope of chaos synchronization under noisy channels. This paper presents a new method to simplify equations of the Exact Polynomial Kalman Filter (ExPKF) given in [1]. This faster algorithm is compared to other estimators showing that performances of all considered observers vanish rapidly with the channel noise making application of chaos synchronization intractable. Simulation of ExPKF shows that saturation drawn on the emitter to keep it stable impacts badly performances for low channel noise. Then we propose a particle filter that outperforms all other Kalman structured observers in the case of noisy channels.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Chaos%20synchronization" title="Chaos synchronization">Chaos synchronization</a>, <a href="https://publications.waset.org/search?q=Saturation" title=" Saturation"> Saturation</a>, <a href="https://publications.waset.org/search?q=Fast%20ExPKF" title=" Fast ExPKF"> Fast ExPKF</a>, <a href="https://publications.waset.org/search?q=Particlefilter" title=" Particlefilter"> Particlefilter</a>, <a href="https://publications.waset.org/search?q=Polynomial%20maps." title=" Polynomial maps."> Polynomial maps.</a> </p> <a href="https://publications.waset.org/14350/particle-filter-applied-to-noisy-synchronization-in-polynomial-chaotic-maps" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14350/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14350/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14350/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14350/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14350/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14350/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14350/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14350/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14350/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14350/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14350.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1241</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">50</span> Solving Stochastic Eigenvalue Problem of Wick Type</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Hassan%20Manouzi">Hassan Manouzi</a>, <a href="https://publications.waset.org/search?q=Taous-Meriem%20Laleg-Kirati"> Taous-Meriem Laleg-Kirati</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In this paper we study mathematically the eigenvalue problem for stochastic elliptic partial differential equation of Wick type. Using the Wick-product and the Wiener-Itô chaos expansion, the stochastic eigenvalue problem is reformulated as a system of an eigenvalue problem for a deterministic partial differential equation and elliptic partial differential equations by using the Fredholm alternative. To reduce the computational complexity of this system, we shall use a decomposition method using the Wiener-Itô chaos expansion. Once the approximation of the solution is performed using the finite element method for example, the statistics of the numerical solution can be easily evaluated.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Eigenvalue%20problem" title="Eigenvalue problem">Eigenvalue problem</a>, <a href="https://publications.waset.org/search?q=Wick%20product" title=" Wick product"> Wick product</a>, <a href="https://publications.waset.org/search?q=SPDEs" title=" SPDEs"> SPDEs</a>, <a href="https://publications.waset.org/search?q=finite%0D%0Aelement" title=" finite element"> finite element</a>, <a href="https://publications.waset.org/search?q=Wiener-It%C3%B4%20chaos%20expansion." title=" Wiener-Itô chaos expansion."> Wiener-Itô chaos expansion.</a> </p> <a href="https://publications.waset.org/9998205/solving-stochastic-eigenvalue-problem-of-wick-type" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9998205/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9998205/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9998205/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9998205/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9998205/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9998205/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9998205/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9998205/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9998205/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9998205/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9998205.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2016</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">49</span> Chaos Theory and Application in Foreign Exchange Rates vs. IRR (Iranian Rial)</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=M.%20A.%20Torkamani">M. A. Torkamani</a>, <a href="https://publications.waset.org/search?q=S.%20Mahmoodzadeh"> S. Mahmoodzadeh</a>, <a href="https://publications.waset.org/search?q=S.%20Pourroostaei"> S. Pourroostaei</a>, <a href="https://publications.waset.org/search?q=C.%20Lucas"> C. Lucas</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Daily production of information and importance of the sequence of produced data in forecasting future performance of market causes analysis of data behavior to become a problem of analyzing time series. But time series that are very complicated, usually are random and as a result their changes considered being unpredictable. While these series might be products of a deterministic dynamical and nonlinear process (chaotic) and as a result be predictable. Point of Chaotic theory view, complicated systems have only chaotically face and as a result they seem to be unregulated and random, but it is possible that they abide by a specified math formula. In this article, with regard to test of strange attractor and biggest Lyapunov exponent probability of chaos on several foreign exchange rates vs. IRR (Iranian Rial) has been investigated. Results show that data in this market have complex chaotic behavior with big degree of freedom.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Chaos" title="Chaos">Chaos</a>, <a href="https://publications.waset.org/search?q=Exchange%20Rate" title=" Exchange Rate"> Exchange Rate</a>, <a href="https://publications.waset.org/search?q=Nonlinear%20Models." title=" Nonlinear Models."> Nonlinear Models.</a> </p> <a href="https://publications.waset.org/914/chaos-theory-and-application-in-foreign-exchange-rates-vs-irr-iranian-rial" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/914/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/914/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/914/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/914/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/914/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/914/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/914/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/914/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/914/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/914/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/914.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2477</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">48</span> Unscented Transformation for Estimating the Lyapunov Exponents of Chaotic Time Series Corrupted by Random Noise</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=K.%20Kamalanand">K. Kamalanand</a>, <a href="https://publications.waset.org/search?q=P.%20Mannar%20Jawahar"> P. Mannar Jawahar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>Many systems in the natural world exhibit chaos or non-linear behavior, the complexity of which is so great that they appear to be random. Identification of chaos in experimental data is essential for characterizing the system and for analyzing the predictability of the data under analysis. The Lyapunov exponents provide a quantitative measure of the sensitivity to initial conditions and are the most useful dynamical diagnostic for chaotic systems. However, it is difficult to accurately estimate the Lyapunov exponents of chaotic signals which are corrupted by a random noise. In this work, a method for estimation of Lyapunov exponents from noisy time series using unscented transformation is proposed. The proposed methodology was validated using time series obtained from known chaotic maps. In this paper, the objective of the work, the proposed methodology and validation results are discussed in detail.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Lyapunov%20exponents" title="Lyapunov exponents">Lyapunov exponents</a>, <a href="https://publications.waset.org/search?q=unscented%20transformation" title=" unscented transformation"> unscented transformation</a>, <a href="https://publications.waset.org/search?q=chaos%20theory" title=" chaos theory"> chaos theory</a>, <a href="https://publications.waset.org/search?q=neural%20networks." title=" neural networks."> neural networks.</a> </p> <a href="https://publications.waset.org/16788/unscented-transformation-for-estimating-the-lyapunov-exponents-of-chaotic-time-series-corrupted-by-random-noise" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/16788/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/16788/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/16788/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/16788/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/16788/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/16788/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/16788/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/16788/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/16788/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/16788/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/16788.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1988</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">47</span> Predictability Analysis on HIV/AIDS System using Hurst Exponents</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=K.%20Kamalanand">K. Kamalanand</a>, <a href="https://publications.waset.org/search?q=P.%20Mannar%20Jawahar"> P. Mannar Jawahar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Methods of contemporary mathematical physics such as chaos theory are useful for analyzing and understanding the behavior of complex biological and physiological systems. The three dimensional model of HIV/AIDS is the basis of active research since it provides a complete characterization of disease dynamics and the interaction of HIV-1 with the immune system. In this work, the behavior of the HIV system is analyzed using the three dimensional HIV model and a chaotic measure known as the Hurst exponent. Results demonstrate that Hurst exponents of CD4, CD8 cells and viral load vary nonlinearly with respect to variations in system parameters. Further, it was observed that the three dimensional HIV model can accommodate both persistent (H>0.5) and anti-persistent (H<0.5) dynamics of HIV states. In this paper, the objectives of the study, methodology and significant observations are presented in detail. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=HIV%2FAIDS" title="HIV/AIDS">HIV/AIDS</a>, <a href="https://publications.waset.org/search?q=mathematical%20model" title=" mathematical model"> mathematical model</a>, <a href="https://publications.waset.org/search?q=chaos%20theory" title=" chaos theory"> chaos theory</a>, <a href="https://publications.waset.org/search?q=Hurst%0Aexponent" title=" Hurst exponent"> Hurst exponent</a> </p> <a href="https://publications.waset.org/14344/predictability-analysis-on-hivaids-system-using-hurst-exponents" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/14344/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/14344/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/14344/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/14344/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/14344/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/14344/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/14344/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/14344/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/14344/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/14344/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/14344.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1743</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">46</span> Direct Democracy and Social Contract in Ancient Athens</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Nicholas%20Kyriazis">Nicholas Kyriazis</a>, <a href="https://publications.waset.org/search?q=Emmanouil%20Marios%20L.%20Economou"> Emmanouil Marios L. Economou</a>, <a href="https://publications.waset.org/search?q=Jr"> Jr</a>, <a href="https://publications.waset.org/search?q=Loukas%20Zachilas"> Loukas Zachilas</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In the present essay, a model of choice by actors is analysedby utilizing the theory of chaos to explain how change comes about. Then, by using ancient and modern sources of literature, the theory of the social contract is analysed as a historical phenomenon that first appeared during the period of Classical Greece. Then, based on the findings of this analysis, the practice of direct democracy and public choice in ancient Athens is analysed, through two historical cases: Eubulus and Lycurgus political program in the second half of the 4th century. The main finding of this research is that these policies can be interpreted as an implementation of a social contract, through which citizens were taking decisions based on rational choice according to economic considerations.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Chaos%20theory" title="Chaos theory">Chaos theory</a>, <a href="https://publications.waset.org/search?q=public%20choice" title=" public choice"> public choice</a>, <a href="https://publications.waset.org/search?q=social%20contract" title=" social contract"> social contract</a>, <a href="https://publications.waset.org/search?q=4th%20century%20BC.%20Athens." title=" 4th century BC. Athens."> 4th century BC. Athens.</a> </p> <a href="https://publications.waset.org/5579/direct-democracy-and-social-contract-in-ancient-athens" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/5579/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/5579/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/5579/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/5579/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/5579/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/5579/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/5579/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/5579/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/5579/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/5579/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/5579.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2399</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">45</span> Container Chaos: The Impact of a Casual Game on Learning and Behavior</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Lori%20L.%20Scarlatos">Lori L. Scarlatos</a>, <a href="https://publications.waset.org/search?q=Ryan%20Courtney"> Ryan Courtney</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper explores the impact that playing a casual game can have on a player's learning and subsequent behavior. A casual mobile game, Container Chaos, was created to teach undergraduate students about the carbon footprint of various disposable beverage containers. Learning was tested with a short quiz, and behavior was tested by observing which beverage containers players choose when offered a drink and a snack. The game was tested multiple times, under a variety of different circumstances. Findings of these tests indicate that, with extended play over time, players can learn new information and sometimes even change their behavior as a result. This has implications for how other casual games can be used to teach concepts and possibly modify behavior.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Behavior" title="Behavior">Behavior</a>, <a href="https://publications.waset.org/search?q=carbon%20footprint" title=" carbon footprint"> carbon footprint</a>, <a href="https://publications.waset.org/search?q=casual%20games" title=" casual games"> casual games</a>, <a href="https://publications.waset.org/search?q=environmental%20impact" title=" environmental impact"> environmental impact</a>, <a href="https://publications.waset.org/search?q=material%20sciences." title=" material sciences."> material sciences.</a> </p> <a href="https://publications.waset.org/10011153/container-chaos-the-impact-of-a-casual-game-on-learning-and-behavior" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/10011153/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/10011153/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/10011153/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/10011153/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/10011153/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/10011153/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/10011153/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/10011153/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/10011153/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/10011153/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/10011153.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">939</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">44</span> Nonlinear Integral-Type Sliding Surface for Synchronization of Chaotic Systems with Unknown Parameters</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Hongji%20Tang">Hongji Tang</a>, <a href="https://publications.waset.org/search?q=Yanbo%20Gao"> Yanbo Gao</a>, <a href="https://publications.waset.org/search?q=Yue%20Yu"> Yue Yu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>This paper presents a new nonlinear integral-type sliding surface for synchronizing two different chaotic systems with parametric uncertainty. On the basis of Lyapunov theorem and average dwelling time method, we obtain the control gains of controllers which are derived to achieve chaos synchronization. In order to reduce the gains, the error system is modeled as a switching system. We obtain the sufficient condition drawn for the robust stability of the error dynamics by stability analysis. Then we apply it to guide the design of the controllers. Finally, numerical examples are used to show the robustness and effectiveness of the proposed control strategy.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Chaos%20synchronization" title="Chaos synchronization">Chaos synchronization</a>, <a href="https://publications.waset.org/search?q=Nonlinear%20sliding%20surface" title=" Nonlinear sliding surface"> Nonlinear sliding surface</a>, <a href="https://publications.waset.org/search?q=Control%20gains" title=" Control gains"> Control gains</a>, <a href="https://publications.waset.org/search?q=Sliding%20mode%20control." title=" Sliding mode control. "> Sliding mode control. </a> </p> <a href="https://publications.waset.org/9997424/nonlinear-integral-type-sliding-surface-for-synchronization-of-chaotic-systems-with-unknown-parameters" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9997424/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9997424/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9997424/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9997424/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9997424/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9997424/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9997424/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9997424/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9997424/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9997424/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9997424.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2024</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">43</span> Global Chaos Synchronization of Identical and Nonidentical Chaotic Systems Using Only Two Nonlinear Controllers</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Azizan%20Bin%20Saaban">Azizan Bin Saaban</a>, <a href="https://publications.waset.org/search?q=Adyda%20Binti%20Ibrahim"> Adyda Binti Ibrahim</a>, <a href="https://publications.waset.org/search?q=Mohammad%20Shehzad"> Mohammad Shehzad</a>, <a href="https://publications.waset.org/search?q=Israr%20Ahmad"> Israr Ahmad</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>In chaos synchronization, the main goal is to design such controller(s) that synchronizes the states of master and slave system asymptotically globally. This paper studied and investigated the synchronization problem of two identical Chen, and identical Tigan chaotic systems and two non-identical Chen and Tigan chaotic systems using Non-linear active control algorithm. In this study, based on Lyapunov stability theory and using non-linear active control algorithm, it has been shown that the proposed schemes have excellent transient performance using only two nonlinear controllers and have shown analytically as well as graphically that synchronization is asymptotically globally stable.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Nonlinear%20Active%20Control" title="Nonlinear Active Control">Nonlinear Active Control</a>, <a href="https://publications.waset.org/search?q=Chen%20and%20Tigan%20Chaotic%20systems" title=" Chen and Tigan Chaotic systems"> Chen and Tigan Chaotic systems</a>, <a href="https://publications.waset.org/search?q=Lyapunov%20Stability%20theory" title=" Lyapunov Stability theory"> Lyapunov Stability theory</a>, <a href="https://publications.waset.org/search?q=Synchronization." title=" Synchronization. "> Synchronization. </a> </p> <a href="https://publications.waset.org/9996765/global-chaos-synchronization-of-identical-and-nonidentical-chaotic-systems-using-only-two-nonlinear-controllers" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/9996765/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/9996765/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/9996765/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/9996765/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/9996765/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/9996765/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/9996765/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/9996765/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/9996765/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/9996765/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/9996765.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">1962</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">42</span> Bidirectional Chaotic Synchronization of Non-Autonomous Circuit and its Application for Secure Communication</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Mada%20Sanjaya">Mada Sanjaya</a>, <a href="https://publications.waset.org/search?q=Halimatussadiyah"> Halimatussadiyah</a>, <a href="https://publications.waset.org/search?q=Dian%20Syah%20Maulana"> Dian Syah Maulana</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The nonlinear chaotic non-autonomous fourth order system is algebraically simple but can generate complex chaotic attractors. In this paper, non-autonomous fourth order chaotic oscillator circuits were designed and simulated. Also chaotic nonautonomous Attractor is addressed suitable for chaotic masking communication circuits using Matlab® and MultiSIM® programs. We have demonstrated in simulations that chaos can be synchronized and applied to signal masking communications. We suggest that this phenomenon of chaos synchronism may serve as the basis for little known chaotic non-autonomous Attractor to achieve signal masking communication applications. Simulation results are used to visualize and illustrate the effectiveness of non-autonomous chaotic system in signal masking. All simulations results performed on nonautonomous chaotic system are verify the applicable of secure communication. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Bidirectional%20chaotic%20synchronization" title="Bidirectional chaotic synchronization">Bidirectional chaotic synchronization</a>, <a href="https://publications.waset.org/search?q=double%20bellattractor" title=" double bellattractor"> double bellattractor</a>, <a href="https://publications.waset.org/search?q=secure%20communication" title=" secure communication"> secure communication</a> </p> <a href="https://publications.waset.org/8811/bidirectional-chaotic-synchronization-of-non-autonomous-circuit-and-its-application-for-secure-communication" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/8811/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/8811/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/8811/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/8811/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/8811/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/8811/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a href="https://publications.waset.org/8811/mla" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">MLA</a> <a href="https://publications.waset.org/8811/ris" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">RIS</a> <a href="https://publications.waset.org/8811/xml" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">XML</a> <a href="https://publications.waset.org/8811/iso690" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">ISO 690</a> <a href="https://publications.waset.org/8811.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">2184</span> </span> </div> </div> <div class="card publication-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">41</span> Complex Dynamic Behaviors in an Ivlev-type Stage-structured Predator-prey System Concerning Impulsive Control Strategy</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/search?q=Shunyi%20Li">Shunyi Li</a>, <a href="https://publications.waset.org/search?q=Zhifang%20He"> Zhifang He</a>, <a href="https://publications.waset.org/search?q=Xiangui%20Xue"> Xiangui Xue</a> </p> <p class="card-text"><strong>Abstract:</strong></p> <p>An Ivlev-type predator-prey system and stage-structured for predator concerning impulsive control strategy is considered. The conditions for the locally asymptotically stable prey-eradication periodic solution is obtained, by using Floquet theorem and small amplitude perturbation skills——when the impulsive period is less than the critical value. Otherwise, the system is permanence. Numerical examples show that the system considered has more complicated dynamics, including high-order quasi-periodic and periodic oscillating, period-doubling and period-halving bifurcation, chaos and attractor crisis, etc. Finally, the biological implications of the results and the impulsive control strategy are discussed.</p> <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/search?q=Stage-structured%20predator-prey%20system" title="Stage-structured predator-prey system">Stage-structured predator-prey system</a>, <a href="https://publications.waset.org/search?q=Impulsive" title=" Impulsive"> Impulsive</a>, <a href="https://publications.waset.org/search?q=Permanence" title=" Permanence"> Permanence</a>, <a href="https://publications.waset.org/search?q=Bifurcation" title=" Bifurcation"> Bifurcation</a>, <a href="https://publications.waset.org/search?q=Chaos." title=" Chaos."> Chaos.</a> </p> <a href="https://publications.waset.org/17054/complex-dynamic-behaviors-in-an-ivlev-type-stage-structured-predator-prey-system-concerning-impulsive-control-strategy" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/17054/apa" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">APA</a> <a href="https://publications.waset.org/17054/bibtex" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">BibTeX</a> <a href="https://publications.waset.org/17054/chicago" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Chicago</a> <a href="https://publications.waset.org/17054/endnote" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">EndNote</a> <a href="https://publications.waset.org/17054/harvard" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">Harvard</a> <a href="https://publications.waset.org/17054/json" target="_blank" rel="nofollow" class="btn btn-primary btn-sm">JSON</a> <a 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