Chaos analysis for a class of impulse Duffing-van der Pol system.
Chaotic dynamics of an impulse Duffing-van der Pol system is studied in this paper. With the Melnikov method, the existence condition of transversal homoclinic point is obtained, and chaos threshold is presented. In addition, numerical simulations including phase portraits and time histories are car...
| Publicado en: | Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences Vol. 78; no. 5; pp. 395 - 404 |
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| Autores principales: | , |
| Formato: | Artículo |
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De Gruyter
May2023
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=hlh&AN=163428427&site=ehost-live header: @attributes: shortDbName: hlh uiTerm: 163428427 longDbName: Humanities International Complete uiTag: AN controlInfo: bkinfo: jinfo: jid: 09320784 FL07 jtl: Zeitschrift für Naturforschung Section A: A Journal of Physical Sciences issn: 09320784 maglogo: N pubinfo: dt: May2023 vid: 78 iid: 5 pid: 1734 pub: De Gruyter artinfo: ui: 163428427 10.1515/zna-2023-0005 ppf: 395 ppct: 9 formats: tig: atl: Chaos analysis for a class of impulse Duffing-van der Pol system. aug: au: Li, Shuqun Zhou, Liangqiang affil: School of Mathematics, Nanjing University of Aeronautics and Astronautics, Nanjing,, 210016, China Key Laboratory of Mathematical Modelling and High Performance Computing of Air Vehicles (NUAA), MIIT, Nanjing,, 211106, China su: Bifurcation diagrams Computer simulation Transversal lines Nonlinear oscillators Orbits (Astronomy) Motion sug: subj: Bifurcation diagrams Computer simulation Transversal lines Nonlinear oscillators Orbits (Astronomy) Motion keyword: chaos Duffing-van der Pol system homoclinic orbit Melnikov method ab: Chaotic dynamics of an impulse Duffing-van der Pol system is studied in this paper. With the Melnikov method, the existence condition of transversal homoclinic point is obtained, and chaos threshold is presented. In addition, numerical simulations including phase portraits and time histories are carried out to verify the analytical results. Bifurcation diagrams are also given, from which it can be seen that the system may undergo chaotic motions through period doubling bifurcations. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: Y dt: @attributes: year: 2023 holdings: @attributes: islocal: N |
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