{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,2]],"date-time":"2026-01-02T17:06:03Z","timestamp":1767373563807,"version":"3.40.5"},"reference-count":36,"publisher":"World Scientific Pub Co Pte Ltd","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2021,3,30]]},"abstract":"<jats:p>We revisit the model of the laser with feedback and the minimal nonlinearity leading to chaos. Although the model has its origin in laser physics, with peculiarities related to the [Formula: see text] laser, it belongs to the class of the three-dimensional paradigmatic nonlinear oscillator models giving chaos. The proposed model contains three key nonlinearities, two of which are of the type [Formula: see text], where [Formula: see text] and [Formula: see text] are the fast and slow variables. The third one is of the type [Formula: see text], where [Formula: see text] is an intermediate feedback variable. We analytically demonstrate that it is essential for producing chaos via local or global homoclinic bifurcations. Its electronic implementation in the range of kilo Hertz region confirms its potential in describing phenomena evolving on different time scales.<\/jats:p>","DOI":"10.1142\/s0218127421300135","type":"journal-article","created":{"date-parts":[[2021,4,1]],"date-time":"2021-04-01T09:17:12Z","timestamp":1617268632000},"page":"2130013","source":"Crossref","is-referenced-by-count":28,"title":["Minimal Universal Model for Chaos in Laser with Feedback"],"prefix":"10.1142","volume":"31","author":[{"given":"Riccardo","family":"Meucci","sequence":"first","affiliation":[{"name":"National Institute of Optics \u2013 CNR, Florence, Italy"}]},{"given":"Stefano","family":"Euzzor","sequence":"additional","affiliation":[{"name":"National Institute of Optics \u2013 CNR, Florence, Italy"}]},{"given":"F.","family":"Tito Arecchi","sequence":"additional","affiliation":[{"name":"University of Florence, Florence, Italy"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1400-4136","authenticated-orcid":false,"given":"Jean-Marc","family":"Ginoux","sequence":"additional","affiliation":[{"name":"Aix Marseille Univ, Universit\u00e9 de Toulon, CNRS, CPT, Marseille, France"}]}],"member":"219","published-online":{"date-parts":[[2021,3,30]]},"reference":[{"volume-title":"Theory of Bifurcations of Dynamical Systems on a Plane","year":"1971","author":"Andronov A.","key":"S0218127421300135BIB001"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB002","DOI":"10.1103\/PhysRevLett.49.1217"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB003","DOI":"10.1103\/PhysRevA.34.1617"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB004","DOI":"10.1103\/PhysRevLett.58.2205"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB005","DOI":"10.1063\/1.2116036"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB006","DOI":"10.1142\/S0218127402005467"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB008","DOI":"10.1109\/TCS.1986.1085869"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB009","DOI":"10.1103\/PhysRevA.48.605"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB010","DOI":"10.1109\/JQE.2002.801951"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB011","DOI":"10.1103\/RevModPhys.57.617"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB012","DOI":"10.1103\/PhysRevA.62.011801"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB013","DOI":"10.1063\/1.4916923"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB014","DOI":"10.1016\/0375-9601(75)90353-9"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB015","DOI":"10.1142\/S0218127410025612"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB017","DOI":"10.1007\/BF01443420"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB018","DOI":"10.1142\/9789814503372_0001"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB019","DOI":"10.1007\/978-1-4757-3978-7"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB020","DOI":"10.1109\/JQE.1980.1070479"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB021","DOI":"10.1175\/1520-0469(1963)020<0130:DNF>2.0.CO;2"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB022","DOI":"10.1021\/j150111a004"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB023","DOI":"10.1073\/pnas.6.7.410"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB024","DOI":"10.1007\/978-1-4612-6374-6"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB025","DOI":"10.1109\/TCS.1984.1085459"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB026","DOI":"10.1002\/0470856211.ch9"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB027","DOI":"10.1103\/PhysRevLett.64.821"},{"doi-asserted-by":"publisher","key":"S0218127421300135BIB028","DOI":"10.1016\/0375-9601(76)90101-8"},{"volume-title":"A Treatise on the Stability of a Given State of Motion: Particularly Steady Motion","year":"1877","author":"Routh E. 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