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Michael Berry (physicist) - Wikipedia
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Available in 21 languages" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-21" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">21 languages</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D9%85%D9%8A%D8%AE%D8%A7%D8%A6%D9%8A%D9%84_%D8%A8%D9%8A%D8%B1%D9%8A_(%D8%A3%D8%B3%D8%AA%D8%A7%D8%B0_%D8%AC%D8%A7%D9%85%D8%B9%D9%8A)" title="ميخائيل بيري (أستاذ جامعي) – Arabic" lang="ar" hreflang="ar" data-title="ميخائيل بيري (أستاذ جامعي)" data-language-autonym="العربية" data-language-local-name="Arabic" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D9%85%D8%A7%DB%8C%DA%A9%D9%84_%D8%A8%D8%B1%DB%8C_(%D9%81%DB%8C%D8%B2%DB%8C%DA%A9%E2%80%8C%DA%86%DB%8C)" title="مایکل بری (فیزیکچی) – South Azerbaijani" lang="azb" hreflang="azb" data-title="مایکل بری (فیزیکچی)" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Michael_Berry" title="Michael Berry – Czech" lang="cs" hreflang="cs" data-title="Michael Berry" data-language-autonym="Čeština" data-language-local-name="Czech" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Michael_Berry_(Physiker)" title="Michael Berry (Physiker) – German" lang="de" hreflang="de" data-title="Michael Berry (Physiker)" data-language-autonym="Deutsch" data-language-local-name="German" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Michael_Berry" title="Michael Berry – Spanish" lang="es" hreflang="es" data-title="Michael Berry" data-language-autonym="Español" data-language-local-name="Spanish" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D9%85%D8%A7%DB%8C%DA%A9%D9%84_%D8%A8%D8%B1%DB%8C_(%D9%81%DB%8C%D8%B2%DB%8C%DA%A9%D8%AF%D8%A7%D9%86)" title="مایکل بری (فیزیکدان) – Persian" lang="fa" hreflang="fa" data-title="مایکل بری (فیزیکدان)" data-language-autonym="فارسی" data-language-local-name="Persian" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Michael_Berry_(physicien)" title="Michael Berry (physicien) – French" lang="fr" hreflang="fr" data-title="Michael Berry (physicien)" data-language-autonym="Français" data-language-local-name="French" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EB%A7%88%EC%9D%B4%ED%81%B4_%EB%B2%A0%EB%A6%AC_(%EB%AC%BC%EB%A6%AC%ED%95%99%EC%9E%90)" title="마이클 베리 (물리학자) – Korean" lang="ko" hreflang="ko" data-title="마이클 베리 (물리학자)" data-language-autonym="한국어" data-language-local-name="Korean" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Michael_Berry_(fisico)" title="Michael Berry (fisico) – Italian" lang="it" hreflang="it" data-title="Michael Berry (fisico)" data-language-autonym="Italiano" data-language-local-name="Italian" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%9E%D7%99%D7%99%D7%A7%D7%9C_%D7%91%D7%A8%D7%99" title="מייקל ברי – Hebrew" lang="he" hreflang="he" data-title="מייקל ברי" data-language-autonym="עברית" data-language-local-name="Hebrew" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D9%85%D9%8A%D8%AE%D8%A7%D8%A6%D9%8A%D9%84_%D8%A8%D9%8A%D8%B1%D9%89" title="ميخائيل بيرى – Egyptian Arabic" lang="arz" hreflang="arz" data-title="ميخائيل بيرى" data-language-autonym="مصرى" data-language-local-name="Egyptian Arabic" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-nl mw-list-item"><a href="https://nl.wikipedia.org/wiki/Michael_Berry" title="Michael Berry – Dutch" lang="nl" hreflang="nl" data-title="Michael Berry" data-language-autonym="Nederlands" data-language-local-name="Dutch" class="interlanguage-link-target"><span>Nederlands</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%83%9E%E3%82%A4%E3%82%B1%E3%83%AB%E3%83%BB%E3%83%99%E3%83%AA%E3%83%BC" title="マイケル・ベリー – Japanese" lang="ja" hreflang="ja" data-title="マイケル・ベリー" data-language-autonym="日本語" data-language-local-name="Japanese" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Michael_Berry_(fizyk)" title="Michael Berry (fizyk) – Polish" lang="pl" hreflang="pl" data-title="Michael Berry (fizyk)" data-language-autonym="Polski" data-language-local-name="Polish" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Michael_Berry" title="Michael Berry – Portuguese" lang="pt" hreflang="pt" data-title="Michael Berry" data-language-autonym="Português" data-language-local-name="Portuguese" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%91%D0%B5%D1%80%D1%80%D0%B8,_%D0%9C%D0%B0%D0%B9%D0%BA%D0%BB" title="Берри, Майкл – Russian" lang="ru" hreflang="ru" data-title="Берри, Майкл" data-language-autonym="Русский" data-language-local-name="Russian" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Michael_Berry_(fyysikko)" title="Michael Berry (fyysikko) – Finnish" lang="fi" hreflang="fi" data-title="Michael Berry (fyysikko)" data-language-autonym="Suomi" data-language-local-name="Finnish" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Michael_Berry" title="Michael Berry – Swedish" lang="sv" hreflang="sv" data-title="Michael Berry" data-language-autonym="Svenska" data-language-local-name="Swedish" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Michael_Berry_(fizik%C3%A7i)" title="Michael Berry (fizikçi) – Turkish" lang="tr" hreflang="tr" data-title="Michael Berry (fizikçi)" data-language-autonym="Türkçe" data-language-local-name="Turkish" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%9C%D0%B0%D0%B9%D0%BA%D0%BB_%D0%91%D0%B5%D1%80%D1%80%D1%96_(%D1%84%D1%96%D0%B7%D0%B8%D0%BA)" title="Майкл Беррі (фізик) – Ukrainian" lang="uk" hreflang="uk" data-title="Майкл Беррі (фізик)" data-language-autonym="Українська" data-language-local-name="Ukrainian" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-zh mw-list-item"><a href="https://zh.wikipedia.org/wiki/%E8%BF%88%E5%85%8B%E5%B0%94%C2%B7%E8%B4%9D%E9%87%8C" title="迈克尔·贝里 – Chinese" lang="zh" hreflang="zh" data-title="迈克尔·贝里" data-language-autonym="中文" data-language-local-name="Chinese" class="interlanguage-link-target"><span>中文</span></a></li> </ul> <div class="after-portlet after-portlet-lang"><span class="wb-langlinks-edit wb-langlinks-link"><a href="https://www.wikidata.org/wiki/Special:EntityPage/Q707825#sitelinks-wikipedia" title="Edit interlanguage links" class="wbc-editpage">Edit links</a></span></div> </div> </div> </div> </header> <div class="vector-page-toolbar"> <div class="vector-page-toolbar-container"> <div id="left-navigation"> <nav aria-label="Namespaces"> <div id="p-associated-pages" class="vector-menu vector-menu-tabs mw-portlet mw-portlet-associated-pages" > <div class="vector-menu-content"> <ul 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searchaux" style="display:none">British theoretical physicist (born 1941)</div> <p class="mw-empty-elt"> </p> <style data-mw-deduplicate="TemplateStyles:r1257001546">.mw-parser-output .infobox-subbox{padding:0;border:none;margin:-3px;width:auto;min-width:100%;font-size:100%;clear:none;float:none;background-color:transparent}.mw-parser-output .infobox-3cols-child{margin:auto}.mw-parser-output .infobox .navbar{font-size:100%}@media screen{html.skin-theme-clientpref-night .mw-parser-output .infobox-full-data:not(.notheme)>div:not(.notheme)[style]{background:#1f1f23!important;color:#f8f9fa}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .infobox-full-data:not(.notheme) div:not(.notheme){background:#1f1f23!important;color:#f8f9fa}}@media(min-width:640px){body.skin--responsive .mw-parser-output .infobox-table{display:table!important}body.skin--responsive .mw-parser-output .infobox-table>caption{display:table-caption!important}body.skin--responsive .mw-parser-output .infobox-table>tbody{display:table-row-group}body.skin--responsive .mw-parser-output .infobox-table tr{display:table-row!important}body.skin--responsive .mw-parser-output .infobox-table th,body.skin--responsive .mw-parser-output .infobox-table td{padding-left:inherit;padding-right:inherit}}</style><table class="infobox biography vcard"><tbody><tr><th colspan="2" class="infobox-above" style="font-size:125%;"><div class="honorific-prefix" style="font-size: 77%; font-weight: normal;">Sir</div><div class="fn">Michael Berry</div><div class="honorific-suffix" style="font-size: 77%; font-weight: normal;"><span class="nobold noexcerpt nowraplinks" style="font-size:;"><span style="font-size: 100;"><a href="/wiki/Fellow_of_the_Royal_Society" title="Fellow of the Royal Society">FRS</a></span> <span style="font-size: 100;"><a href="/wiki/Fellow_of_the_Royal_Society_of_Edinburgh" class="mw-redirect" title="Fellow of the Royal Society of Edinburgh">FRSE</a></span> <span style="font-size: 100;"><a href="/wiki/Fellow_of_the_Royal_Society_of_Arts" class="mw-redirect" title="Fellow of the Royal Society of Arts">FRSA</a></span> <span style="font-size: 100;"><a href="/wiki/Honorary_Fellows_of_the_Institute_of_Physics" class="mw-redirect" title="Honorary Fellows of the Institute of Physics">HonFInstP</a></span></span></div></th></tr><tr><td colspan="2" class="infobox-image"><span class="mw-default-size" typeof="mw:File/Frameless"><a href="/wiki/File:LorentzMedaille2014-cropped.jpg" class="mw-file-description"><img alt="2015 Picture of Michael Berry holding the Lorentz Medal" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/LorentzMedaille2014-cropped.jpg/220px-LorentzMedaille2014-cropped.jpg" decoding="async" width="220" height="275" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/17/LorentzMedaille2014-cropped.jpg/330px-LorentzMedaille2014-cropped.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/17/LorentzMedaille2014-cropped.jpg/440px-LorentzMedaille2014-cropped.jpg 2x" data-file-width="709" data-file-height="886" /></a></span><div class="infobox-caption">Berry in 2015</div></td></tr><tr><th scope="row" class="infobox-label">Born</th><td class="infobox-data"><div style="display:inline" class="nickname">Michael Victor Berry</div><br /><span style="display:none"> (<span class="bday">1941-03-14</span>) </span>14 March 1941<span class="noprint ForceAgeToShow"> (age 83)</span><br /><div style="display:inline" class="birthplace"><span class="nowrap"><a href="/wiki/Surrey" title="Surrey">Surrey</a>, England, United Kingdom</span></div></td></tr><tr><th scope="row" class="infobox-label">Alma mater</th><td class="infobox-data"><a href="/wiki/University_of_Exeter" title="University of Exeter">University of Exeter</a> (<a href="/wiki/BSc" class="mw-redirect" title="BSc">BSc</a>)<br /><a href="/wiki/University_of_St._Andrews" class="mw-redirect" title="University of St. Andrews">University of St. Andrews</a> (<a href="/wiki/PhD" class="mw-redirect" title="PhD">PhD</a>)</td></tr><tr><th scope="row" class="infobox-label">Known for</th><td class="infobox-data"><style data-mw-deduplicate="TemplateStyles:r1126788409">.mw-parser-output .plainlist ol,.mw-parser-output .plainlist ul{line-height:inherit;list-style:none;margin:0;padding:0}.mw-parser-output .plainlist ol li,.mw-parser-output .plainlist ul li{margin-bottom:0}</style><div class="plainlist"><ul><li><a href="/wiki/Geometric_phase" title="Geometric phase">Berry phase</a></li><li><a href="/wiki/Berry_connection_and_curvature" title="Berry connection and curvature">Berry connection and curvature</a></li><li><a href="/wiki/Berry%E2%80%93Robbins_problem" title="Berry–Robbins problem">Berry–Robbins problem</a></li><li><a href="/wiki/Quantum_chaos#Berry–Tabor_conjecture" title="Quantum chaos">Berry–Tabor conjecture</a></li><li><a href="/wiki/Hearing_the_shape_of_a_drum#The_Weyl–Berry_conjecture" title="Hearing the shape of a drum">Weyl–Berry conjecture</a></li><li><a href="/wiki/Quantum_carpet" title="Quantum carpet">Quantum carpet</a></li><li><a href="/wiki/Quantum_chaos" title="Quantum chaos">Quantum chaos</a></li></ul></div></td></tr><tr><th scope="row" class="infobox-label">Awards</th><td class="infobox-data"><a href="/wiki/Maxwell_Medal_and_Prize" class="mw-redirect" title="Maxwell Medal and Prize">Maxwell Medal and Prize</a> (1978) <br /> <a href="/wiki/Fellow_of_the_Royal_Society" title="Fellow of the Royal Society">Fellow of the Royal Society</a> (1982) <br /> <a href="/wiki/Lilienfeld_Prize" title="Lilienfeld Prize">Lilienfeld Prize</a> (1990) <br /> <a href="/wiki/Royal_Medal" title="Royal Medal">Royal Medal</a> (1990) <br /> <a href="/wiki/Dirac_Medal_(IOP)" title="Dirac Medal (IOP)">IOP Dirac Medal</a> (1990) <br /> <a href="/wiki/Naylor_Prize_and_Lectureship" title="Naylor Prize and Lectureship">Naylor Prize and Lectureship</a> (1992) <br /> <a href="/wiki/Dirac_Medal_(ICTP)" title="Dirac Medal (ICTP)">ICTP Dirac Medal</a> (1996)<br /> <a href="/wiki/Knight_Bachelor" title="Knight Bachelor">Knight Bachelor</a> (1996) <br /> <a href="/wiki/Wolf_Prize" title="Wolf Prize">Wolf Prize</a> (1998) <br /> <a href="/wiki/Ig_Nobel_prize" class="mw-redirect" title="Ig Nobel prize">Ig Nobel prize</a> (2000) <br /> <a href="/wiki/Onsager_Medal" title="Onsager Medal">Onsager Medal</a> (2001) <br /> <a href="/wiki/P%C3%B3lya_Prize_(London_Mathematical_Society)" class="mw-redirect" title="Pólya Prize (London Mathematical Society)">Pólya Prize</a> (2005) <br /> <a href="/wiki/Lorentz_Medal" title="Lorentz Medal">Lorentz Medal</a> (2014)</td></tr><tr><td colspan="2" class="infobox-full-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1257001546"><b>Scientific career</b></td></tr><tr><th scope="row" class="infobox-label">Institutions</th><td class="infobox-data"><a href="/wiki/University_of_Bristol" title="University of Bristol">University of Bristol</a></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Thesis" title="Thesis">Thesis</a></th><td class="infobox-data"><i><a rel="nofollow" class="external text" href="https://research-repository.st-andrews.ac.uk/handle/10023/22569">The diffraction of light by ultrasound</a></i> <span style="font-size:97%;">(1965)</span></td></tr><tr><th scope="row" class="infobox-label"><a href="/wiki/Doctoral_advisor" title="Doctoral advisor">Doctoral advisor</a></th><td class="infobox-data"><a href="/wiki/Robert_Balson_Dingle" title="Robert Balson Dingle">Robert Balson Dingle</a><sup id="cite_ref-mathgene_1-0" class="reference"><a href="#cite_note-mathgene-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup></td></tr><tr><th scope="row" class="infobox-label">Doctoral students</th><td class="infobox-data"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1126788409"><div class="plainlist"><ul><li><a href="/wiki/Jenny_Nelson" title="Jenny Nelson">Jenny Nelson</a></li><li><a href="/wiki/Jonathan_Keating" title="Jonathan Keating">Jonathan Keating</a></li></ul></div></td></tr><tr style="display:none"><td colspan="2"> </td></tr><tr><th scope="row" class="infobox-label">Website</th><td class="infobox-data"><span class="url"><a rel="nofollow" class="external text" href="https://michaelberryphysics.wordpress.com/">michaelberryphysics<wbr />.wordpress<wbr />.com</a></span></td></tr></tbody></table> <p><b>Sir Michael Victor Berry</b> (born 14 March 1941) is a British <a href="/wiki/Theoretical_physics" title="Theoretical physics">theoretical physicist</a>. He is the Melville Wills Professor of Physics (Emeritus) at the <a href="/wiki/University_of_Bristol" title="University of Bristol">University of Bristol</a>. </p><p>He is known for the <a href="/wiki/Geometric_phase" title="Geometric phase">Berry phase</a>, a phenomenon observed in both <a href="/wiki/Quantum_mechanics" title="Quantum mechanics">quantum mechanics</a> and classical <a href="/wiki/Optics" title="Optics">optics</a>, as well as <a href="/wiki/Berry_connection_and_curvature" title="Berry connection and curvature">Berry connection and curvature</a>. He specializes in semiclassical physics (asymptotic physics, <a href="/wiki/Quantum_chaos" title="Quantum chaos">quantum chaos</a>), applied to wave phenomena in <a href="/wiki/Quantum_mechanics" title="Quantum mechanics">quantum mechanics</a> and other areas such as <a href="/wiki/Optics" title="Optics">optics</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Early_life_and_education">Early life and education</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Michael_Berry_(physicist)&action=edit&section=1" title="Edit section: Early life and education"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Berry was brought up in a <a href="/wiki/List_of_British_Jewish_scientists" title="List of British Jewish scientists">Jewish family</a> and was the son of a London taxi driver and a dressmaker.<sup id="cite_ref-2" class="reference"><a href="#cite_note-2"><span class="cite-bracket">[</span>2<span class="cite-bracket">]</span></a></sup> Berry earned a <a href="/wiki/Bachelor_of_Science" title="Bachelor of Science">BSc</a> in <a href="/wiki/Physics" title="Physics">physics</a> from the <a href="/wiki/University_of_Exeter" title="University of Exeter">University of Exeter</a> where he met his first wife (a sociology student with whom he had his first child)<sup id="cite_ref-3" class="reference"><a href="#cite_note-3"><span class="cite-bracket">[</span>3<span class="cite-bracket">]</span></a></sup> and a PhD from the <a href="/wiki/University_of_St._Andrews" class="mw-redirect" title="University of St. Andrews">University of St. Andrews</a>.<sup id="cite_ref-4" class="reference"><a href="#cite_note-4"><span class="cite-bracket">[</span>4<span class="cite-bracket">]</span></a></sup> His thesis is titled <i>The diffraction of light by ultrasound</i>.<sup id="cite_ref-phd_5-0" class="reference"><a href="#cite_note-phd-5"><span class="cite-bracket">[</span>5<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Career_and_research">Career and research</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Michael_Berry_(physicist)&action=edit&section=2" title="Edit section: Career and research"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>He has spent his whole career at the University of Bristol. He was a <a href="/wiki/Research_fellow" title="Research fellow">research fellow</a>, 1965–67; lecturer, 1967–74; <a href="/wiki/Reader_(academic_rank)" title="Reader (academic rank)">reader</a>, 1974–78; Professor of Physics, 1978–88; and Royal Society Research Professor 1988–2006. Since 2006, he has been Melville Wills Professor of Physics (Emeritus) at Bristol University.<sup id="cite_ref-6" class="reference"><a href="#cite_note-6"><span class="cite-bracket">[</span>6<span class="cite-bracket">]</span></a></sup> </p> <div class="mw-heading mw-heading2"><h2 id="Awards_and_honours">Awards and honours</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Michael_Berry_(physicist)&action=edit&section=3" title="Edit section: Awards and honours"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>He was elected a <a href="/wiki/List_of_Fellows_of_the_Royal_Society_elected_in_1982" class="mw-redirect" title="List of Fellows of the Royal Society elected in 1982">Fellow of the Royal Society (FRS) in 1982</a><sup id="cite_ref-7" class="reference"><a href="#cite_note-7"><span class="cite-bracket">[</span>7<span class="cite-bracket">]</span></a></sup> and knighted in 1996.<sup id="cite_ref-8" class="reference"><a href="#cite_note-8"><span class="cite-bracket">[</span>8<span class="cite-bracket">]</span></a></sup> From 2006 to 2012 he was editor of<i><a href="/wiki/Proceedings_of_the_Royal_Society" title="Proceedings of the Royal Society"> Proceedings of the Royal Society A</a></i>. </p><p>Berry has been given the following prizes and awards:<sup id="cite_ref-9" class="reference"><a href="#cite_note-9"><span class="cite-bracket">[</span>9<span class="cite-bracket">]</span></a></sup> </p> <ul><li><a href="/wiki/James_Clerk_Maxwell_Medal_and_Prize" title="James Clerk Maxwell Medal and Prize">Maxwell Medal and Prize</a>, <a href="/wiki/Institute_of_Physics" title="Institute of Physics">Institute of Physics</a>, 1978</li> <li>Elected <a href="/wiki/Fellow_of_the_Royal_Society" title="Fellow of the Royal Society">Fellow of the Royal Society</a> of London, 1982</li> <li>Elected <a href="/wiki/Fellow_of_the_Royal_Society_of_Arts" class="mw-redirect" title="Fellow of the Royal Society of Arts">Fellow of the Royal Society of Arts</a>, 1983</li> <li>Elected Fellow of the <a href="/wiki/Royal_Institution" title="Royal Institution">Royal Institution</a>, 1983</li> <li>Elected Member of the <a href="/wiki/Royal_Society_of_Sciences_in_Uppsala" title="Royal Society of Sciences in Uppsala">Royal Society of Sciences in Uppsala</a>, Sweden, 1986</li> <li>Bakerian Lecturer, <a href="/wiki/Royal_Society" title="Royal Society">Royal Society</a>, 1987</li> <li>Elected member of the <a href="/wiki/European_Academy_of_Sciences_and_Arts" title="European Academy of Sciences and Arts">European Academy of Sciences and Arts</a>, 1989</li> <li><a href="/wiki/Dirac_Medal_(IOP)" title="Dirac Medal (IOP)">Dirac Medal</a>, Institute of Physics, 1990</li> <li><a href="/wiki/Lilienfeld_Prize" title="Lilienfeld Prize">Lilienfeld Prize</a>, <a href="/wiki/American_Physical_Society" title="American Physical Society">American Physical Society</a>, 1990</li> <li><a href="/wiki/Royal_Medal" title="Royal Medal">Royal Medal</a>, Royal Society, 1990</li> <li><a href="/wiki/Naylor_Prize" class="mw-redirect" title="Naylor Prize">Naylor Prize</a> and Lectureship in Applied Mathematics, <a href="/wiki/London_Mathematical_Society" title="London Mathematical Society">London Mathematical Society</a>, 1992</li> <li>Foreign Member: US <a href="/wiki/National_Academy_of_Sciences" title="National Academy of Sciences">National Academy of Sciences</a>, 1995</li> <li><a href="/wiki/Dirac_Medal_(ICTP)" title="Dirac Medal (ICTP)">Dirac Medal</a>, <a href="/wiki/International_Centre_for_Theoretical_Physics" title="International Centre for Theoretical Physics">International Centre for Theoretical Physics</a>, 1996</li> <li>Awarded honorary Doctor of Science degree in <a href="/wiki/Trinity_College_Dublin" title="Trinity College Dublin">Trinity College Dublin</a>, 1996<sup id="cite_ref-10" class="reference"><a href="#cite_note-10"><span class="cite-bracket">[</span>10<span class="cite-bracket">]</span></a></sup></li> <li><a href="/w/index.php?title=Kapitsa_Medal&action=edit&redlink=1" class="new" title="Kapitsa Medal (page does not exist)">Kapitsa Medal</a>, <a href="/wiki/Russian_Academy_of_Sciences" title="Russian Academy of Sciences">Russian Academy of Sciences</a>, 1997</li> <li><a href="/wiki/Wolf_Prize" title="Wolf Prize">Wolf Prize</a> for Physics, <a href="/wiki/Wolf_Foundation" title="Wolf Foundation">Wolf Foundation</a>, <a href="/wiki/Israel" title="Israel">Israel</a>, 1998, jointly with <a href="/wiki/Yakir_Aharonov" title="Yakir Aharonov">Yakir Aharonov</a></li> <li>Honorary Fellow of the Institute of Physics, 1999</li> <li><a href="/wiki/Forder_Lectureship" title="Forder Lectureship">Forder Lectureship</a>, <a href="/wiki/London_Mathematical_Society" title="London Mathematical Society">London Mathematical Society</a>, 1999<sup id="cite_ref-11" class="reference"><a href="#cite_note-11"><span class="cite-bracket">[</span>11<span class="cite-bracket">]</span></a></sup></li> <li>Foreign Member: <a href="/wiki/Royal_Netherlands_Academy_of_Arts_and_Sciences" title="Royal Netherlands Academy of Arts and Sciences">Royal Netherlands Academy of Arts and Sciences</a>, 2000</li> <li><a href="/wiki/Ig_Nobel_Prize" title="Ig Nobel Prize">Ig Nobel Prize</a> for Physics, <a href="/wiki/List_of_Ig_Nobel_Prize_winners#2000" title="List of Ig Nobel Prize winners">2000</a> (shared with <a href="/wiki/Andre_Geim" title="Andre Geim">Andre Geim</a> for "The Physics of Flying Frogs"). By 2022 his and Geim's Ig Nobel for the magnetic levitation of a frog was reportedly part of the inspiration for China's <a href="/wiki/Gravitation_of_the_Moon#Simulating_lunar_gravity" title="Gravitation of the Moon">lunar gravity research</a> facility.<sup id="cite_ref-Futurism01a_12-0" class="reference"><a href="#cite_note-Futurism01a-12"><span class="cite-bracket">[</span>12<span class="cite-bracket">]</span></a></sup><sup id="cite_ref-scmp2022-01-12a_13-0" class="reference"><a href="#cite_note-scmp2022-01-12a-13"><span class="cite-bracket">[</span>13<span class="cite-bracket">]</span></a></sup></li> <li><a href="/wiki/Onsager_Medal" title="Onsager Medal">Onsager Medal</a>, <a href="/wiki/Norwegian_University_of_Science_and_Technology" title="Norwegian University of Science and Technology">Norwegian University of Science and Technology</a>, 2001</li> <li>Gibbs Lecturer, <a href="/wiki/American_Mathematical_Society" title="American Mathematical Society">American Mathematical Society</a>, 2002<sup id="cite_ref-14" class="reference"><a href="#cite_note-14"><span class="cite-bracket">[</span>14<span class="cite-bracket">]</span></a></sup></li> <li>1st and 3rd prizes, Visions of Science, <a href="/wiki/Novartis" title="Novartis">Novartis</a>/<a href="/wiki/Daily_Telegraph" class="mw-redirect" title="Daily Telegraph">Daily Telegraph</a>, 2002</li> <li>Elected to <a href="/wiki/Royal_Society_of_Edinburgh" title="Royal Society of Edinburgh">Royal Society of Edinburgh</a>, 2005</li> <li><a href="/wiki/P%C3%B3lya_Prize_(London_Mathematical_Society)" class="mw-redirect" title="Pólya Prize (London Mathematical Society)">Pólya Prize</a>, <a href="/wiki/London_Mathematical_Society" title="London Mathematical Society">London Mathematical Society</a>, 2005</li> <li>Doctor of Science, <a href="/wiki/Honorary_degree" title="Honorary degree">honoris causa</a>, <a href="/wiki/University_of_Glasgow" title="University of Glasgow">University of Glasgow</a>, 2007</li> <li>Selected <a href="/wiki/List_of_Clarivate_Citation_laureates_in_Physics" title="List of Clarivate Citation laureates in Physics">Clarivate Citation laureate in Physics</a> in 2009, jointly with Aharonov.<sup id="cite_ref-15" class="reference"><a href="#cite_note-15"><span class="cite-bracket">[</span>15<span class="cite-bracket">]</span></a></sup></li> <li>Doctor of Science, <a href="/wiki/Honorary_degree" title="Honorary degree">honoris causa</a>, <a href="/wiki/Russian-Armenian_(Slavonic)_University" class="mw-redirect" title="Russian-Armenian (Slavonic) University">Russian-Armenian (Slavonic) University</a> in <a href="/wiki/Yerevan" title="Yerevan">Yerevan</a>, 2012</li> <li><a href="/wiki/Lorentz_Medal" title="Lorentz Medal">Lorentz Medal</a>, 2014<sup id="cite_ref-16" class="reference"><a href="#cite_note-16"><span class="cite-bracket">[</span>16<span class="cite-bracket">]</span></a></sup></li> <li><a href="/wiki/Lise_Meitner_Distinguished_Lecture" title="Lise Meitner Distinguished Lecture">Lise Meitner Distinguished Lecture</a>, 2019</li></ul> <div class="mw-heading mw-heading2"><h2 id="See_also">See also</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Michael_Berry_(physicist)&action=edit&section=4" title="Edit section: See also"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/S._Pancharatnam" title="S. Pancharatnam">S. Pancharatnam</a></li> <li><a href="/wiki/Gordon_decomposition" title="Gordon decomposition">Gordon decomposition</a></li> <li><a href="/wiki/Hilbert%E2%80%93P%C3%B3lya_conjecture" title="Hilbert–Pólya conjecture">Hilbert–Pólya conjecture</a></li> <li><a href="/wiki/Riemann_hypothesis" title="Riemann hypothesis">Riemann hypothesis</a></li> <li><a href="/wiki/Spin-stabilized_magnetic_levitation" title="Spin-stabilized magnetic levitation">Spin-stabilized magnetic levitation</a></li> <li><a href="/wiki/Superoscillation" title="Superoscillation">Superoscillation</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="References">References</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Michael_Berry_(physicist)&action=edit&section=5" title="Edit section: References"><span>edit</span></a><span class="mw-editsection-bracket">]</span></span></div> <style data-mw-deduplicate="TemplateStyles:r1239543626">.mw-parser-output .reflist{margin-bottom:0.5em;list-style-type:decimal}@media screen{.mw-parser-output .reflist{font-size:90%}}.mw-parser-output .reflist .references{font-size:100%;margin-bottom:0;list-style-type:inherit}.mw-parser-output .reflist-columns-2{column-width:30em}.mw-parser-output .reflist-columns-3{column-width:25em}.mw-parser-output .reflist-columns{margin-top:0.3em}.mw-parser-output .reflist-columns ol{margin-top:0}.mw-parser-output .reflist-columns li{page-break-inside:avoid;break-inside:avoid-column}.mw-parser-output .reflist-upper-alpha{list-style-type:upper-alpha}.mw-parser-output .reflist-upper-roman{list-style-type:upper-roman}.mw-parser-output .reflist-lower-alpha{list-style-type:lower-alpha}.mw-parser-output .reflist-lower-greek{list-style-type:lower-greek}.mw-parser-output .reflist-lower-roman{list-style-type:lower-roman}</style><div class="reflist reflist-columns references-column-width" style="column-width: 30em;"> <ol class="references"> <li id="cite_note-mathgene-1"><span class="mw-cite-backlink"><b><a href="#cite_ref-mathgene_1-0">^</a></b></span> <span class="reference-text"><a rel="nofollow" class="external text" href="https://mathgenealogy.org/id.php?id=100096">Michael Berry</a> at the <a href="/wiki/Mathematics_Genealogy_Project" title="Mathematics Genealogy Project">Mathematics Genealogy Project</a></span> </li> <li id="cite_note-2"><span class="mw-cite-backlink"><b><a href="#cite_ref-2">^</a></b></span> <span class="reference-text"><style data-mw-deduplicate="TemplateStyles:r1238218222">.mw-parser-output cite.citation{font-style:inherit;word-wrap:break-word}.mw-parser-output .citation q{quotes:"\"""\"""'""'"}.mw-parser-output .citation:target{background-color:rgba(0,127,255,0.133)}.mw-parser-output .id-lock-free.id-lock-free a{background:url("//upload.wikimedia.org/wikipedia/commons/6/65/Lock-green.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-limited.id-lock-limited a,.mw-parser-output .id-lock-registration.id-lock-registration a{background:url("//upload.wikimedia.org/wikipedia/commons/d/d6/Lock-gray-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .id-lock-subscription.id-lock-subscription a{background:url("//upload.wikimedia.org/wikipedia/commons/a/aa/Lock-red-alt-2.svg")right 0.1em center/9px no-repeat}.mw-parser-output .cs1-ws-icon a{background:url("//upload.wikimedia.org/wikipedia/commons/4/4c/Wikisource-logo.svg")right 0.1em center/12px no-repeat}body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-free a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-limited a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-registration a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .id-lock-subscription a,body:not(.skin-timeless):not(.skin-minerva) .mw-parser-output .cs1-ws-icon a{background-size:contain;padding:0 1em 0 0}.mw-parser-output .cs1-code{color:inherit;background:inherit;border:none;padding:inherit}.mw-parser-output .cs1-hidden-error{display:none;color:var(--color-error,#d33)}.mw-parser-output .cs1-visible-error{color:var(--color-error,#d33)}.mw-parser-output .cs1-maint{display:none;color:#085;margin-left:0.3em}.mw-parser-output .cs1-kern-left{padding-left:0.2em}.mw-parser-output .cs1-kern-right{padding-right:0.2em}.mw-parser-output .citation .mw-selflink{font-weight:inherit}@media screen{.mw-parser-output .cs1-format{font-size:95%}html.skin-theme-clientpref-night .mw-parser-output .cs1-maint{color:#18911f}}@media screen and (prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .cs1-maint{color:#18911f}}</style><cite id="CITEREFRubinsteinJollesRubinstein2011" class="citation book cs1"><a href="/wiki/William_Rubinstein" title="William Rubinstein">Rubinstein, William D.</a>; Jolles, Michael; <a href="/wiki/Hilary_L._Rubinstein" title="Hilary L. Rubinstein">Rubinstein, Hilary L.</a> (2011). <a rel="nofollow" class="external text" href="https://books.google.com/books?id=spOxzrifZjcC&redir_esc=y"><i>The Palgrave Dictionary of Anglo-Jewish History</i></a>. Palgrave Macmillan. p. 87. <a href="/wiki/ISBN_(identifier)" class="mw-redirect" title="ISBN (identifier)">ISBN</a> <a href="/wiki/Special:BookSources/9781403939104" title="Special:BookSources/9781403939104"><bdi>9781403939104</bdi></a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=book&rft.btitle=The+Palgrave+Dictionary+of+Anglo-Jewish+History&rft.pages=87&rft.pub=Palgrave+Macmillan&rft.date=2011&rft.isbn=9781403939104&rft.aulast=Rubinstein&rft.aufirst=William+D.&rft.au=Jolles%2C+Michael&rft.au=Rubinstein%2C+Hilary+L.&rft_id=https%3A%2F%2Fbooks.google.com%2Fbooks%3Fid%3DspOxzrifZjcC%26redir_esc%3Dy&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMichael+Berry+%28physicist%29" class="Z3988"></span></span> </li> <li id="cite_note-3"><span class="mw-cite-backlink"><b><a href="#cite_ref-3">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.bbc.co.uk/programmes/w3ct65r3">"The Life Scientific: Sir Michael Berry"</a><span class="reference-accessdate">. Retrieved <span class="nowrap">21 January</span> 2024</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=The+Life+Scientific%3A+Sir+Michael+Berry&rft_id=https%3A%2F%2Fwww.bbc.co.uk%2Fprogrammes%2Fw3ct65r3&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMichael+Berry+%28physicist%29" class="Z3988"></span></span> </li> <li id="cite_note-4"><span class="mw-cite-backlink"><b><a href="#cite_ref-4">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.lboro.ac.uk/alumni/our-alumni/sir-michael-berry/">"Sir Michael Berry"</a>. <a href="/wiki/Loughborough_University" title="Loughborough University">Loughborough University</a><span class="reference-accessdate">. Retrieved <span class="nowrap">22 July</span> 2009</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=Sir+Michael+Berry&rft.pub=Loughborough+University&rft_id=https%3A%2F%2Fwww.lboro.ac.uk%2Falumni%2Four-alumni%2Fsir-michael-berry%2F&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMichael+Berry+%28physicist%29" class="Z3988"></span></span> </li> <li id="cite_note-phd-5"><span class="mw-cite-backlink"><b><a href="#cite_ref-phd_5-0">^</a></b></span> <span class="reference-text"> <link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBerry1965" class="citation thesis cs1">Berry, Michael (1965). <a rel="nofollow" class="external text" href="https://research-repository.st-andrews.ac.uk/handle/10023/22569"><i>The diffraction of light by ultrasound</i></a> (PhD thesis). <a href="/wiki/University_of_St._Andrews" class="mw-redirect" title="University of St. Andrews">University of St. Andrews</a>. <a href="/wiki/Hdl_(identifier)" class="mw-redirect" title="Hdl (identifier)">hdl</a>:<a rel="nofollow" class="external text" href="https://hdl.handle.net/10023%2F22569">10023/22569</a>. <a href="/wiki/OCLC_(identifier)" class="mw-redirect" title="OCLC (identifier)">OCLC</a> <a rel="nofollow" class="external text" href="https://search.worldcat.org/oclc/1507853">1507853</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Adissertation&rft.title=The+diffraction+of+light+by+ultrasound&rft.inst=University+of+St.+Andrews&rft.date=1965&rft_id=info%3Ahdl%2F10023%2F22569&rft_id=info%3Aoclcnum%2F1507853&rft.aulast=Berry&rft.aufirst=Michael&rft_id=https%3A%2F%2Fresearch-repository.st-andrews.ac.uk%2Fhandle%2F10023%2F22569&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMichael+Berry+%28physicist%29" class="Z3988"></span></span> </li> <li id="cite_note-6"><span class="mw-cite-backlink"><b><a href="#cite_ref-6">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://michaelberryphysics.wordpress.com/history/">"History"</a>. <i>PROFESSOR SIR MICHAEL VICTOR BERRY, FRS</i>. 28 June 2013<span class="reference-accessdate">. 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Recurrent Ventures. 12 January 2022<span class="reference-accessdate">. Retrieved <span class="nowrap">17 January</span> 2022</span>. <q>Interestingly, the facility was partly inspired by previous research conducted by Russian physicist Andrew Geim in which he floated a frog with a magnet. The experiment earned Geim the Ig Nobel Prize in Physics, a satirical award given to unusual scientific research. It's cool that a quirky experiment involving floating a frog could lead to something approaching an honest-to-God antigravity chamber.</q></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=Futurism.com&rft.atitle=China+building+%22Artificial+Moon%22+that+simulates+low+gravity+with+magnets&rft.date=2022-01-12&rft_id=https%3A%2F%2Ffuturism.com%2Fthe-byte%2Fchina-artificial-moon-magnets&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMichael+Berry+%28physicist%29" class="Z3988"></span></span> </li> <li id="cite_note-scmp2022-01-12a-13"><span class="mw-cite-backlink"><b><a href="#cite_ref-scmp2022-01-12a_13-0">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFStephen_Chen2022" class="citation web cs1">Stephen Chen (12 January 2022). <a rel="nofollow" class="external text" href="https://www.scmp.com/news/china/science/article/3162972/china-has-built-artificial-moon-simulates-low-gravity-conditions">"China has built an artificial moon that simulates low-gravity conditions on Earth"</a>. <a href="/wiki/South_China_Morning_Post" title="South China Morning Post">South China Morning Post</a><span class="reference-accessdate">. Retrieved <span class="nowrap">17 January</span> 2022</span>. <q>It is said to be the first of its kind and could play a key role in the country's future lunar missions. Landscape is supported by a magnetic field and was inspired by experiments to levitate a frog.</q></cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Abook&rft.genre=unknown&rft.btitle=China+has+built+an+artificial+moon+that+simulates+low-gravity+conditions+on+Earth&rft.pub=South+China+Morning+Post&rft.date=2022-01-12&rft.au=Stephen+Chen&rft_id=https%3A%2F%2Fwww.scmp.com%2Fnews%2Fchina%2Fscience%2Farticle%2F3162972%2Fchina-has-built-artificial-moon-simulates-low-gravity-conditions&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMichael+Berry+%28physicist%29" class="Z3988"></span></span> </li> <li id="cite_note-14"><span class="mw-cite-backlink"><b><a href="#cite_ref-14">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite id="CITEREFBerry2003" class="citation journal cs1">Berry, Michael (2003). <a rel="nofollow" class="external text" href="https://doi.org/10.1090%2FS0273-0979-03-00972-8">"Making light of mathematics: 75th Gibbs Lecture"</a>. <i>Bull. Amer. Math. Soc. (N.S.)</i>. <b>40</b> (2): 229–237. <a href="/wiki/Doi_(identifier)" class="mw-redirect" title="Doi (identifier)">doi</a>:<span class="id-lock-free" title="Freely accessible"><a rel="nofollow" class="external text" href="https://doi.org/10.1090%2FS0273-0979-03-00972-8">10.1090/S0273-0979-03-00972-8</a></span>. <a href="/wiki/MR_(identifier)" class="mw-redirect" title="MR (identifier)">MR</a> <a rel="nofollow" class="external text" href="https://mathscinet.ams.org/mathscinet-getitem?mr=1962297">1962297</a>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.jtitle=Bull.+Amer.+Math.+Soc.+%28N.S.%29&rft.atitle=Making+light+of+mathematics%3A+75th+Gibbs+Lecture&rft.volume=40&rft.issue=2&rft.pages=229-237&rft.date=2003&rft_id=info%3Adoi%2F10.1090%2FS0273-0979-03-00972-8&rft_id=https%3A%2F%2Fmathscinet.ams.org%2Fmathscinet-getitem%3Fmr%3D1962297%23id-name%3DMR&rft.aulast=Berry&rft.aufirst=Michael&rft_id=https%3A%2F%2Fdoi.org%2F10.1090%252FS0273-0979-03-00972-8&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMichael+Berry+%28physicist%29" class="Z3988"></span></span> </li> <li id="cite_note-15"><span class="mw-cite-backlink"><b><a href="#cite_ref-15">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.newswire.ca/content/newswire-ca/ca/en/news-releases.detail.html/null.htm">"Thomson Reuters Predicts Nobel Laureates"</a>. <i>www.newswire.ca</i><span class="reference-accessdate">. Retrieved <span class="nowrap">4 October</span> 2023</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=www.newswire.ca&rft.atitle=Thomson+Reuters+Predicts+Nobel+Laureates&rft_id=https%3A%2F%2Fwww.newswire.ca%2Fcontent%2Fnewswire-ca%2Fca%2Fen%2Fnews-releases.detail.html%2Fnull.htm&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMichael+Berry+%28physicist%29" class="Z3988"></span></span> </li> <li id="cite_note-16"><span class="mw-cite-backlink"><b><a href="#cite_ref-16">^</a></b></span> <span class="reference-text"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1238218222"><cite class="citation web cs1"><a rel="nofollow" class="external text" href="https://www.knaw.nl/en/awards/laureates/lorentzmedaille/michael-berry">"Michael Berry"</a>. <i>knaw.nl</i>. KNAW<span class="reference-accessdate">. Retrieved <span class="nowrap">3 April</span> 2022</span>.</cite><span title="ctx_ver=Z39.88-2004&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=unknown&rft.jtitle=knaw.nl&rft.atitle=Michael+Berry&rft_id=https%3A%2F%2Fwww.knaw.nl%2Fen%2Fawards%2Flaureates%2Florentzmedaille%2Fmichael-berry&rfr_id=info%3Asid%2Fen.wikipedia.org%3AMichael+Berry+%28physicist%29" class="Z3988"></span></span> </li> </ol></div> <div class="navbox-styles"><style data-mw-deduplicate="TemplateStyles:r1129693374">.mw-parser-output .hlist dl,.mw-parser-output .hlist ol,.mw-parser-output .hlist ul{margin:0;padding:0}.mw-parser-output .hlist dd,.mw-parser-output .hlist dt,.mw-parser-output .hlist li{margin:0;display:inline}.mw-parser-output .hlist.inline,.mw-parser-output .hlist.inline dl,.mw-parser-output .hlist.inline ol,.mw-parser-output .hlist.inline ul,.mw-parser-output .hlist dl dl,.mw-parser-output .hlist dl ol,.mw-parser-output .hlist dl ul,.mw-parser-output .hlist ol dl,.mw-parser-output .hlist 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.navbox{display:none!important}}</style></div><div role="navigation" class="navbox" aria-labelledby="Laureates_of_the_Wolf_Prize_in_Physics" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2" style="background:#d3d3d3;"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><style data-mw-deduplicate="TemplateStyles:r1239400231">.mw-parser-output .navbar{display:inline;font-size:88%;font-weight:normal}.mw-parser-output .navbar-collapse{float:left;text-align:left}.mw-parser-output .navbar-boxtext{word-spacing:0}.mw-parser-output .navbar ul{display:inline-block;white-space:nowrap;line-height:inherit}.mw-parser-output .navbar-brackets::before{margin-right:-0.125em;content:"[ "}.mw-parser-output .navbar-brackets::after{margin-left:-0.125em;content:" ]"}.mw-parser-output .navbar li{word-spacing:-0.125em}.mw-parser-output .navbar a>span,.mw-parser-output .navbar a>abbr{text-decoration:inherit}.mw-parser-output .navbar-mini abbr{font-variant:small-caps;border-bottom:none;text-decoration:none;cursor:inherit}.mw-parser-output .navbar-ct-full{font-size:114%;margin:0 7em}.mw-parser-output .navbar-ct-mini{font-size:114%;margin:0 4em}html.skin-theme-clientpref-night .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}@media(prefers-color-scheme:dark){html.skin-theme-clientpref-os .mw-parser-output .navbar li a abbr{color:var(--color-base)!important}}@media print{.mw-parser-output .navbar{display:none!important}}</style><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Wolf_Prize_in_Physics" title="Template:Wolf Prize in Physics"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Wolf_Prize_in_Physics" title="Template talk:Wolf Prize in Physics"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Wolf_Prize_in_Physics" title="Special:EditPage/Template:Wolf Prize in Physics"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Laureates_of_the_Wolf_Prize_in_Physics" style="font-size:114%;margin:0 4em">Laureates of the <a href="/wiki/Wolf_Prize_in_Physics" title="Wolf Prize in Physics">Wolf Prize in Physics</a></div></th></tr><tr><th scope="row" class="navbox-group" style="background:#d3d3d3;;width:1%">1970s</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Chien-Shiung_Wu" title="Chien-Shiung Wu">Chien-Shiung Wu</a> (1978)</li> <li><a href="/wiki/George_Uhlenbeck" title="George Uhlenbeck">George Uhlenbeck</a> / <a href="/wiki/Giuseppe_Occhialini" title="Giuseppe Occhialini">Giuseppe Occhialini</a> (1979)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="background:#d3d3d3;;width:1%">1980s</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Michael_Fisher" title="Michael Fisher">Michael Fisher</a> / <a href="/wiki/Leo_Kadanoff" title="Leo Kadanoff">Leo Kadanoff</a> / <a href="/wiki/Kenneth_G._Wilson" title="Kenneth G. Wilson">Kenneth G. Wilson</a> (1980)</li> <li><a href="/wiki/Freeman_Dyson" title="Freeman Dyson">Freeman Dyson</a> / <a href="/wiki/Gerard_%27t_Hooft" title="Gerard 't Hooft">Gerardus 't Hooft</a> / <a href="/wiki/Victor_Weisskopf" title="Victor Weisskopf">Victor Weisskopf</a> (1981)</li> <li><a href="/wiki/Leon_M._Lederman" title="Leon M. Lederman">Leon M. Lederman</a> / <a href="/wiki/Martin_Lewis_Perl" title="Martin Lewis Perl">Martin Lewis Perl</a> (1982)</li> <li><a href="/wiki/Erwin_Hahn" title="Erwin Hahn">Erwin Hahn</a> / <a href="/wiki/Peter_Hirsch" title="Peter Hirsch">Peter Hirsch</a> / <a href="/wiki/Theodore_Maiman" title="Theodore Maiman">Theodore Maiman</a> (1983–84)</li> <li><a href="/wiki/Conyers_Herring" title="Conyers Herring">Conyers Herring</a> / <a href="/wiki/Philippe_Nozi%C3%A8res" title="Philippe Nozières">Philippe Nozières</a> (1984–85)</li> <li><a href="/wiki/Mitchell_Feigenbaum" title="Mitchell Feigenbaum">Mitchell Feigenbaum</a> / <a href="/wiki/Albert_J._Libchaber" title="Albert J. Libchaber">Albert J. Libchaber</a> (1986)</li> <li><a href="/wiki/Herbert_Friedman" title="Herbert Friedman">Herbert Friedman</a> / <a href="/wiki/Bruno_Rossi" title="Bruno Rossi">Bruno Rossi</a> / <a href="/wiki/Riccardo_Giacconi" title="Riccardo Giacconi">Riccardo Giacconi</a> (1987)</li> <li><a href="/wiki/Roger_Penrose" title="Roger Penrose">Roger Penrose</a> / <a href="/wiki/Stephen_Hawking" title="Stephen Hawking">Stephen Hawking</a> (1988)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="background:#d3d3d3;;width:1%">1990s</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Pierre-Gilles_de_Gennes" title="Pierre-Gilles de Gennes">Pierre-Gilles de Gennes</a> / <a href="/wiki/David_J._Thouless" title="David J. Thouless">David J. Thouless</a> (1990)</li> <li><a href="/wiki/Maurice_Goldhaber" title="Maurice Goldhaber">Maurice Goldhaber</a> / <a href="/wiki/Valentine_Telegdi" title="Valentine Telegdi">Valentine Telegdi</a> (1991)</li> <li><a href="/wiki/Joseph_Hooton_Taylor_Jr." title="Joseph Hooton Taylor Jr.">Joseph H. Taylor Jr.</a> (1992)</li> <li><a href="/wiki/Benoit_Mandelbrot" title="Benoit Mandelbrot">Benoît Mandelbrot</a> (1993)</li> <li><a href="/wiki/Vitaly_Ginzburg" title="Vitaly Ginzburg">Vitaly Ginzburg</a> / <a href="/wiki/Yoichiro_Nambu" title="Yoichiro Nambu">Yoichiro Nambu</a> (1994–95)</li> <li><a href="/wiki/John_Archibald_Wheeler" title="John Archibald Wheeler">John Wheeler</a> (1996–97)</li> <li><a href="/wiki/Yakir_Aharonov" title="Yakir Aharonov">Yakir Aharonov</a> / <a class="mw-selflink selflink">Michael Berry</a> (1998)</li> <li><a href="/wiki/Dan_Shechtman" title="Dan Shechtman">Dan Shechtman</a> (1999)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="background:#d3d3d3;;width:1%">2000s</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Raymond_Davis_Jr." title="Raymond Davis Jr.">Raymond Davis Jr.</a> / <a href="/wiki/Masatoshi_Koshiba" title="Masatoshi Koshiba">Masatoshi Koshiba</a> (2000)</li> <li><a href="/wiki/Bertrand_Halperin" title="Bertrand Halperin">Bertrand Halperin</a> / <a href="/wiki/Anthony_James_Leggett" title="Anthony James Leggett">Anthony Leggett</a> (2002–03)</li> <li><a href="/wiki/Robert_Brout" title="Robert Brout">Robert Brout</a> / <a href="/wiki/Fran%C3%A7ois_Englert" title="François Englert">François Englert</a> / <a href="/wiki/Peter_Higgs" title="Peter Higgs">Peter Higgs</a> (2004)</li> <li><a href="/wiki/Daniel_Kleppner" title="Daniel Kleppner">Daniel Kleppner</a> (2005)</li> <li><a href="/wiki/Albert_Fert" title="Albert Fert">Albert Fert</a> / <a href="/wiki/Peter_Gr%C3%BCnberg" title="Peter Grünberg">Peter Grünberg</a> (2006–07)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="background:#d3d3d3;;width:1%">2010s</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/John_Clauser" title="John Clauser">John F. Clauser</a> / <a href="/wiki/Alain_Aspect" title="Alain Aspect">Alain Aspect</a> / <a href="/wiki/Anton_Zeilinger" title="Anton Zeilinger">Anton Zeilinger</a> (2010)</li> <li><a href="/wiki/Maximilian_Haider" title="Maximilian Haider">Maximilian Haider</a> / <a href="/wiki/Harald_Rose" title="Harald Rose">Harald Rose</a> / <a href="/wiki/Knut_Urban" title="Knut Urban">Knut Urban</a> (2011)</li> <li><a href="/wiki/Jacob_Bekenstein" title="Jacob Bekenstein">Jacob Bekenstein</a> (2012)</li> <li><a href="/wiki/Peter_Zoller" title="Peter Zoller">Peter Zoller</a> / <a href="/wiki/Juan_Ignacio_Cirac_Sasturain" title="Juan Ignacio Cirac Sasturain">Juan Ignacio Cirac</a> (2013)</li> <li><a href="/wiki/James_Bjorken" title="James Bjorken">James D. Bjorken</a> / <a href="/wiki/Robert_Kirshner" title="Robert Kirshner">Robert P. Kirshner</a> (2015)</li> <li><a href="/wiki/Yoseph_Imry" title="Yoseph Imry">Yoseph Imry</a> (2016)</li> <li><a href="/wiki/Michel_Mayor" title="Michel Mayor">Michel Mayor</a> / <a href="/wiki/Didier_Queloz" title="Didier Queloz">Didier Queloz</a> (2017)</li> <li><a href="/wiki/Charles_H._Bennett_(physicist)" title="Charles H. Bennett (physicist)">Charles H. Bennett</a> / <a href="/wiki/Gilles_Brassard" title="Gilles Brassard">Gilles Brassard</a> (2018)</li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="background:#d3d3d3;;width:1%">2020s</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Rafi_Bistritzer" title="Rafi Bistritzer">Rafi Bistritzer</a> / <a href="/wiki/Pablo_Jarillo-Herrero" title="Pablo Jarillo-Herrero">Pablo Jarillo-Herrero</a> / <a href="/wiki/Allan_H._MacDonald" title="Allan H. MacDonald">Allan H. MacDonald</a> (2020)</li> <li><a href="/wiki/Giorgio_Parisi" title="Giorgio Parisi">Giorgio Parisi</a> (2021)</li> <li><a href="/wiki/Anne_L%27Huillier" title="Anne L'Huillier">Anne L'Huillier</a> / <a href="/wiki/Paul_Corkum" title="Paul Corkum">Paul Corkum</a> / <a href="/wiki/Ferenc_Krausz" title="Ferenc Krausz">Ferenc Krausz</a> (2022)</li> <li><a href="/wiki/Martin_Rees" title="Martin Rees">Martin Rees</a> (2024)</li></ul> </div></td></tr><tr><td class="navbox-abovebelow" colspan="2" style="background:#d3d3d3;"><div> <ul><li><a href="/wiki/Wolf_Prize_in_Agriculture" title="Wolf Prize in Agriculture">Agriculture</a></li> <li><a href="/wiki/Wolf_Prize_in_Arts" title="Wolf Prize in Arts">Arts</a></li> <li><a href="/wiki/Wolf_Prize_in_Chemistry" title="Wolf Prize in Chemistry">Chemistry</a></li> <li><a href="/wiki/Wolf_Prize_in_Mathematics" title="Wolf Prize in Mathematics">Mathematics</a></li> <li><a href="/wiki/Wolf_Prize_in_Medicine" title="Wolf Prize in Medicine">Medicine</a></li> <li><b><a href="/wiki/Wolf_Prize_in_Physics" title="Wolf Prize in Physics">Physics</a></b></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox" aria-labelledby="Chaos_theory" style="padding:3px"><table class="nowraplinks mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="3"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1239400231"><div class="navbar plainlinks hlist navbar-mini"><ul><li class="nv-view"><a href="/wiki/Template:Chaos_theory" title="Template:Chaos theory"><abbr title="View this template">v</abbr></a></li><li class="nv-talk"><a href="/wiki/Template_talk:Chaos_theory" title="Template talk:Chaos theory"><abbr title="Discuss this template">t</abbr></a></li><li class="nv-edit"><a href="/wiki/Special:EditPage/Template:Chaos_theory" title="Special:EditPage/Template:Chaos theory"><abbr title="Edit this template">e</abbr></a></li></ul></div><div id="Chaos_theory" style="font-size:114%;margin:0 4em"><a href="/wiki/Chaos_theory" title="Chaos theory">Chaos theory</a></div></th></tr><tr><th scope="row" class="navbox-group" style="width:1%">Concepts</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th id="Core" scope="row" class="navbox-group" style="width:1%"><div style="margin: 10px 0px">Core</div></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Attractor" title="Attractor">Attractor</a></li> <li><a href="/wiki/Bifurcation_theory" title="Bifurcation theory">Bifurcation</a></li> <li><a href="/wiki/Fractal" title="Fractal">Fractal</a></li> <li><a href="/wiki/Limit_set" title="Limit set">Limit set</a></li> <li><a href="/wiki/Lyapunov_exponent" title="Lyapunov exponent">Lyapunov exponent</a></li> <li><a href="/wiki/Orbit_(dynamics)" title="Orbit (dynamics)">Orbit</a></li> <li><a href="/wiki/Periodic_point" title="Periodic point">Periodic point</a></li> <li><a href="/wiki/Phase_space" title="Phase space">Phase space</a></li></ul> </div></td></tr><tr><td colspan="2" class="navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Anosov_diffeomorphism" title="Anosov diffeomorphism">Anosov diffeomorphism</a></li> <li><a href="/wiki/Arnold_tongue" title="Arnold tongue">Arnold tongue</a></li> <li><a href="/wiki/Axiom_A" title="Axiom A">axiom A dynamical system</a></li> <li><a href="/wiki/Bifurcation_diagram" title="Bifurcation diagram">Bifurcation diagram</a></li> <li><a href="/wiki/Box-counting_dimension" class="mw-redirect" title="Box-counting dimension">Box-counting dimension</a></li> <li><a href="/wiki/Correlation_dimension" title="Correlation dimension">Correlation dimension</a></li> <li><a href="/wiki/Conservative_system" title="Conservative system">Conservative system</a></li> <li><a href="/wiki/Ergodicity" title="Ergodicity">Ergodicity</a></li> <li><a href="/wiki/False_nearest_neighbors" class="mw-redirect" title="False nearest neighbors">False nearest neighbors</a></li> <li><a href="/wiki/Hausdorff_dimension" title="Hausdorff dimension">Hausdorff dimension</a></li> <li><a href="/wiki/Invariant_measure" title="Invariant measure">Invariant measure</a></li> <li><a href="/wiki/Lyapunov_stability" title="Lyapunov stability">Lyapunov stability</a></li> <li><a href="/wiki/Measure-preserving_dynamical_system" title="Measure-preserving dynamical system">Measure-preserving dynamical system</a></li> <li><a href="/wiki/Mixing_(mathematics)" title="Mixing (mathematics)">Mixing</a></li> <li><a href="/wiki/Poincar%C3%A9_section" class="mw-redirect" title="Poincaré section">Poincaré section</a></li> <li><a href="/wiki/Recurrence_plot" title="Recurrence plot">Recurrence plot</a></li> <li><a href="/wiki/SRB_measure" class="mw-redirect" title="SRB measure">SRB measure</a></li> <li><a href="/wiki/Stable_manifold" title="Stable manifold">Stable manifold</a></li> <li><a href="/wiki/Topological_conjugacy" title="Topological conjugacy">Topological conjugacy</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><div style="margin: 10px 0px">Theorems</div></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Ergodic_theory#Ergodic_theorems" title="Ergodic theory">Ergodic theorem</a></li> <li><a href="/wiki/Liouville%27s_theorem_(Hamiltonian)" title="Liouville's theorem (Hamiltonian)">Liouville's theorem</a></li> <li><a href="/wiki/Krylov%E2%80%93Bogolyubov_theorem" title="Krylov–Bogolyubov theorem">Krylov–Bogolyubov theorem</a></li> <li><a href="/wiki/Poincar%C3%A9%E2%80%93Bendixson_theorem" title="Poincaré–Bendixson theorem">Poincaré–Bendixson theorem</a></li> <li><a href="/wiki/Poincar%C3%A9_recurrence_theorem" title="Poincaré recurrence theorem">Poincaré recurrence theorem</a></li> <li><a href="/wiki/Stable_manifold_theorem" title="Stable manifold theorem">Stable manifold theorem</a></li> <li><a href="/wiki/Takens%27s_theorem" title="Takens's theorem">Takens's theorem</a></li></ul> </div></td></tr></tbody></table><div></div></td><td class="noviewer navbox-image" rowspan="6" style="width:1px;padding:0 0 0 2px"><div><span typeof="mw:File"><a href="/wiki/File:C%C3%B4ne_textileII.png" class="mw-file-description" title="Conus textile shell"><img alt="Conus textile shell" src="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/C%C3%B4ne_textileII.png/100px-C%C3%B4ne_textileII.png" decoding="async" width="100" height="180" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/a/ae/C%C3%B4ne_textileII.png/150px-C%C3%B4ne_textileII.png 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/a/ae/C%C3%B4ne_textileII.png/200px-C%C3%B4ne_textileII.png 2x" data-file-width="2344" data-file-height="4211" /></a></span> <p><br /> </p> <span typeof="mw:File"><a href="/wiki/File:Circle_map_poincare_recurrence.jpeg" class="mw-file-description" title="Circle map with black Arnold tongues"><img alt="Circle map with black Arnold tongues" src="//upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Circle_map_poincare_recurrence.jpeg/100px-Circle_map_poincare_recurrence.jpeg" decoding="async" width="100" height="200" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Circle_map_poincare_recurrence.jpeg/150px-Circle_map_poincare_recurrence.jpeg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/1/1e/Circle_map_poincare_recurrence.jpeg/200px-Circle_map_poincare_recurrence.jpeg 2x" data-file-width="450" data-file-height="900" /></a></span></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Theoretical<br />branches</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Bifurcation_theory" title="Bifurcation theory">Bifurcation theory</a></li> <li><a href="/wiki/Control_of_chaos" title="Control of chaos">Control of chaos</a></li> <li><a href="/wiki/Dynamical_system" title="Dynamical system">Dynamical system</a></li> <li><a href="/wiki/Ergodic_theory" title="Ergodic theory">Ergodic theory</a></li> <li><a href="/wiki/Quantum_chaos" title="Quantum chaos">Quantum chaos</a></li> <li><a href="/wiki/Stability_theory" title="Stability theory">Stability theory</a></li> <li><a href="/wiki/Synchronization_of_chaos" title="Synchronization of chaos">Synchronization of chaos</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Chaotic<br />maps (<a href="/wiki/List_of_chaotic_maps" title="List of chaotic maps">list</a>)</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"></div><table class="nowraplinks navbox-subgroup" style="border-spacing:0"><tbody><tr><th scope="row" class="navbox-group" style="width:1%"><div style="margin: 10px 0px">Discrete</div></th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Arnold%27s_cat_map" title="Arnold's cat map">Arnold's cat map</a></li> <li><a href="/wiki/Baker%27s_map" title="Baker's map">Baker's map</a></li> <li><a href="/wiki/Complex_quadratic_polynomial" title="Complex quadratic polynomial">Complex quadratic map</a></li> <li><a href="/wiki/Coupled_map_lattice" title="Coupled map lattice">Coupled map lattice</a></li> <li><a href="/wiki/Duffing_map" title="Duffing map">Duffing map</a></li> <li><a href="/wiki/Dyadic_transformation" title="Dyadic transformation">Dyadic transformation</a></li> <li><a href="/wiki/Dynamical_billiards" title="Dynamical billiards">Dynamical billiards</a> <ul><li><a href="/wiki/Outer_billiards" title="Outer billiards">outer</a></li></ul></li> <li><a href="/wiki/Exponential_map_(discrete_dynamical_systems)" title="Exponential map (discrete dynamical systems)">Exponential map</a></li> <li><a href="/wiki/Gauss_iterated_map" title="Gauss iterated map">Gauss map</a></li> <li><a href="/wiki/Gingerbreadman_map" title="Gingerbreadman map">Gingerbreadman map</a></li> <li><a href="/wiki/H%C3%A9non_map" title="Hénon map">Hénon map</a></li> <li><a href="/wiki/Horseshoe_map" title="Horseshoe map">Horseshoe map</a></li> <li><a href="/wiki/Ikeda_map" title="Ikeda map">Ikeda map</a></li> <li><a href="/wiki/Interval_exchange_transformation" title="Interval exchange transformation">Interval exchange map</a></li> <li><a href="/wiki/Irrational_rotation" title="Irrational rotation">Irrational rotation</a></li> <li><a href="/wiki/Kaplan%E2%80%93Yorke_map" title="Kaplan–Yorke map">Kaplan–Yorke map</a></li> <li><a href="/wiki/Langton%27s_ant" title="Langton's ant">Langton's ant</a></li> <li><a href="/wiki/Logistic_map" title="Logistic map">Logistic map</a></li> <li><a href="/wiki/Standard_map" title="Standard map">Standard map</a></li> <li><a href="/wiki/Tent_map" title="Tent map">Tent map</a></li> <li><a href="/wiki/Tinkerbell_map" title="Tinkerbell map">Tinkerbell map</a></li> <li><a href="/wiki/Zaslavskii_map" title="Zaslavskii map">Zaslavskii map</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%"><div style="margin: 10px 0px">Continuous</div></th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Double_scroll_attractor" class="mw-redirect" title="Double scroll attractor">Double scroll attractor</a></li> <li><a href="/wiki/Duffing_equation" title="Duffing equation">Duffing equation</a></li> <li><a href="/wiki/Lorenz_system" title="Lorenz system">Lorenz system</a></li> <li><a href="/wiki/Lotka%E2%80%93Volterra_equations" title="Lotka–Volterra equations">Lotka–Volterra equations</a></li> <li><a href="/wiki/Mackey%E2%80%93Glass_equations" title="Mackey–Glass equations">Mackey–Glass equations</a></li> <li><a href="/wiki/Rabinovich%E2%80%93Fabrikant_equations" title="Rabinovich–Fabrikant equations">Rabinovich–Fabrikant equations</a></li> <li><a href="/wiki/R%C3%B6ssler_attractor" title="Rössler attractor">Rössler attractor</a></li> <li><a href="/wiki/Three-body_problem" title="Three-body problem">Three-body problem</a></li> <li><a href="/wiki/Van_der_Pol_oscillator" title="Van der Pol oscillator">Van der Pol oscillator</a></li></ul> </div></td></tr></tbody></table><div></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Physical<br />systems</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Chua%27s_circuit" title="Chua's circuit">Chua's circuit</a></li> <li><a href="/wiki/Rayleigh%E2%80%93B%C3%A9nard_convection" title="Rayleigh–Bénard convection">Convection</a></li> <li><a href="/wiki/Double_pendulum" title="Double pendulum">Double pendulum</a></li> <li><a href="/wiki/Elastic_pendulum" title="Elastic pendulum">Elastic pendulum</a></li> <li><a href="/wiki/Fermi%E2%80%93Pasta%E2%80%93Ulam%E2%80%93Tsingou_problem" title="Fermi–Pasta–Ulam–Tsingou problem">FPUT problem</a></li> <li><a href="/wiki/H%C3%A9non%E2%80%93Heiles_system" title="Hénon–Heiles system">Hénon–Heiles system</a></li> <li><a href="/wiki/Kicked_rotator" title="Kicked rotator">Kicked rotator</a></li> <li><a href="/wiki/Multiscroll_attractor" title="Multiscroll attractor">Multiscroll attractor</a></li> <li><a href="/wiki/Population_dynamics" title="Population dynamics">Population dynamics</a></li> <li><a href="/wiki/Swinging_Atwood%27s_machine" title="Swinging Atwood's machine">Swinging Atwood's machine</a></li> <li><a href="/wiki/Tilt-A-Whirl" title="Tilt-A-Whirl">Tilt-A-Whirl</a></li> <li><a href="/wiki/Weather_forecasting" title="Weather forecasting">Weather</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Chaos<br />theorists</th><td class="navbox-list-with-group navbox-list navbox-even hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a class="mw-selflink selflink">Michael Berry</a></li> <li><a href="/wiki/Rufus_Bowen" title="Rufus Bowen">Rufus Bowen</a></li> <li><a href="/wiki/Mary_Cartwright" title="Mary Cartwright">Mary Cartwright</a></li> <li><a href="/wiki/Chen_Guanrong" title="Chen Guanrong">Chen Guanrong</a></li> <li><a href="/wiki/Leon_O._Chua" title="Leon O. Chua">Leon O. Chua</a></li> <li><a href="/wiki/Mitchell_Feigenbaum" title="Mitchell Feigenbaum">Mitchell Feigenbaum</a></li> <li><a href="/wiki/Peter_Grassberger" title="Peter Grassberger">Peter Grassberger</a></li> <li><a href="/wiki/Celso_Grebogi" title="Celso Grebogi">Celso Grebogi</a></li> <li><a href="/wiki/Martin_Gutzwiller" title="Martin Gutzwiller">Martin Gutzwiller</a></li> <li><a href="/wiki/Brosl_Hasslacher" title="Brosl Hasslacher">Brosl Hasslacher</a></li> <li><a href="/wiki/Michel_H%C3%A9non" title="Michel Hénon">Michel Hénon</a></li> <li><a href="/wiki/Svetlana_Jitomirskaya" title="Svetlana Jitomirskaya">Svetlana Jitomirskaya</a></li> <li><a href="/wiki/Bryna_Kra" title="Bryna Kra">Bryna Kra</a></li> <li><a href="/wiki/Edward_Norton_Lorenz" title="Edward Norton Lorenz">Edward Norton Lorenz</a></li> <li><a href="/wiki/Aleksandr_Lyapunov" title="Aleksandr Lyapunov">Aleksandr Lyapunov</a></li> <li><a href="/wiki/Benoit_Mandelbrot" title="Benoit Mandelbrot">Benoît Mandelbrot</a></li> <li><a href="/wiki/Hee_Oh" title="Hee Oh">Hee Oh</a></li> <li><a href="/wiki/Edward_Ott" title="Edward Ott">Edward Ott</a></li> <li><a href="/wiki/Henri_Poincar%C3%A9" title="Henri Poincaré">Henri Poincaré</a></li> <li><a href="/wiki/Itamar_Procaccia" title="Itamar Procaccia">Itamar Procaccia</a></li> <li><a href="/wiki/Mary_Rees" title="Mary Rees">Mary Rees</a></li> <li><a href="/wiki/Otto_R%C3%B6ssler" title="Otto Rössler">Otto Rössler</a></li> <li><a href="/wiki/David_Ruelle" title="David Ruelle">David Ruelle</a></li> <li><a href="/wiki/Caroline_Series" title="Caroline Series">Caroline Series</a></li> <li><a href="/wiki/Yakov_Sinai" title="Yakov Sinai">Yakov Sinai</a></li> <li><a href="/wiki/Oleksandr_Mykolayovych_Sharkovsky" class="mw-redirect" title="Oleksandr Mykolayovych Sharkovsky">Oleksandr Mykolayovych Sharkovsky</a></li> <li><a href="/wiki/Nina_Snaith" title="Nina Snaith">Nina Snaith</a></li> <li><a href="/wiki/Floris_Takens" title="Floris Takens">Floris Takens</a></li> <li><a href="/wiki/Audrey_Terras" title="Audrey Terras">Audrey Terras</a></li> <li><a href="/wiki/Mary_Tsingou" title="Mary Tsingou">Mary Tsingou</a></li> <li><a href="/wiki/Marcelo_Viana" title="Marcelo Viana">Marcelo Viana</a></li> <li><a href="/wiki/Amie_Wilkinson" title="Amie Wilkinson">Amie Wilkinson</a></li> <li><a href="/wiki/James_A._Yorke" title="James A. Yorke">James A. Yorke</a></li> <li><a href="/wiki/Lai-Sang_Young" title="Lai-Sang Young">Lai-Sang Young</a></li></ul> </div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Related<br />articles</th><td class="navbox-list-with-group navbox-list navbox-odd hlist" style="width:100%;padding:0"><div style="padding:0 0.25em"> <ul><li><a href="/wiki/Butterfly_effect" title="Butterfly effect">Butterfly effect</a></li> <li><a href="/wiki/Complexity" title="Complexity">Complexity</a></li> <li><a href="/wiki/Edge_of_chaos" title="Edge of chaos">Edge of chaos</a></li> <li><a href="/wiki/Predictability" title="Predictability">Predictability</a></li> <li><a href="/wiki/Santa_Fe_Institute" title="Santa Fe Institute">Santa Fe Institute</a></li></ul> </div></td></tr></tbody></table></div> <div class="navbox-styles"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1129693374"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r1236075235"></div><div role="navigation" class="navbox authority-control" aria-labelledby="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q707825#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="padding:3px"><table class="nowraplinks hlist mw-collapsible autocollapse navbox-inner" style="border-spacing:0;background:transparent;color:inherit"><tbody><tr><th scope="col" class="navbox-title" colspan="2"><div id="Authority_control_databases_frameless&#124;text-top&#124;10px&#124;alt=Edit_this_at_Wikidata&#124;link=https&#58;//www.wikidata.org/wiki/Q707825#identifiers&#124;class=noprint&#124;Edit_this_at_Wikidata" style="font-size:114%;margin:0 4em"><a href="/wiki/Help:Authority_control" title="Help:Authority control">Authority control databases</a> <span class="mw-valign-text-top noprint" typeof="mw:File/Frameless"><a href="https://www.wikidata.org/wiki/Q707825#identifiers" title="Edit this at 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href="https://viaf.org/viaf/61628465">VIAF</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://id.worldcat.org/fast/229753/">FAST</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.oclc.org/worldcat/entity/E39PBJdrJFkbVQvYBRjfCp3PcP">WorldCat</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">National</th><td class="navbox-list-with-group navbox-list navbox-even" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://d-nb.info/gnd/134204956">Germany</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://id.loc.gov/authorities/n88028985">United States</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://catalogue.bnf.fr/ark:/12148/cb12380060g">France</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://data.bnf.fr/ark:/12148/cb12380060g">BnF data</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://data.bibliotheken.nl/id/thes/p068881541">Netherlands</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="http://olduli.nli.org.il/F/?func=find-b&local_base=NLX10&find_code=UID&request=987007426536105171">Israel</a></span></li></ul></div></td></tr><tr><th scope="row" class="navbox-group" style="width:1%">Academics</th><td class="navbox-list-with-group navbox-list navbox-odd" style="width:100%;padding:0"><div style="padding:0 0.25em"><ul><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.mathgenealogy.org/id.php?id=100096">Mathematics Genealogy Project</a></span></li><li><span class="uid"><a rel="nofollow" class="external text" href="https://www.scopus.com/authid/detail.uri?authorId=7402662103">Scopus</a></span></li><li><span class="uid"><a rel="nofollow" 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