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Regular and Chaotic Dynamics, 2010, Volume 15, Issue 2-3, Pages 274–284
DOI: https://doi.org/10.1134/S1560354710020140 (Mi rcd494) 		 
This article is cited in 14 scientific papers (total in 14 papers)

On the 75th birthday of Professor L.P. Shilnikov

Chaotic dynamics of two Van der Pol–Duffing oscillators with Huygens coupling

V. N. Belykh, E. V. Pankratova

Mathematics Department, Volga State Academy, Nizhny Novgorod, 603950, Russia
Citations (14)
DOI: https://doi.org/10.1134/S1560354710020140
Abstract: We consider a system of two coupled Van der Pol-Duffing oscillators with Huygens coupling as an appropriate model of two mechanical oscillators connected to a movable platform via a spring. We examine the complicated dynamics of the system and study its multistable behavior. In particular, we reveal the co-existence of several chaotic regimes and study the structure of the associated riddled basins.
Keywords: Van der Pol–Duffing oscillator, coupled systems, chaotic oscillations.
Received: 04.12.2009
Accepted: 22.12.2009
Bibliographic databases:
Document Type: Personalia
MSC: 37D45, 37L20, 93A30, 93C10, 93C15
Language: English
Citation: V. N. Belykh, E. V. Pankratova, “Chaotic dynamics of two Van der Pol–Duffing oscillators with Huygens coupling”, Regul. Chaotic Dyn., 15:2-3 (2010), 274–284
Citation in format AMSBIB
\Bibitem{BelPan10}
\by V. N. Belykh, E. V. Pankratova
\paper Chaotic dynamics of two Van der Pol–Duffing oscillators with Huygens coupling
\jour Regul. Chaotic Dyn.
\yr 2010
\vol 15
\issue 2-3
\pages 274--284
\mathnet{http://mi.mathnet.ru/rcd494}
\crossref{https://doi.org/10.1134/S1560354710020140}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2644336}
\zmath{https://zbmath.org/?q=an:1203.37054}
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    • This publication is cited in the following 14 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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