Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 3, Pages 411–425 (Mi nd267)  

This article is cited in 15 scientific papers (total in 15 papers)

Forced synchronization of two coupled van der Pol self-oscillators

A. P. Kuznetsov, I. R. Sataev, L. V. Turukina

Kotel'nikov's Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, Zelyenaya 38, Saratov, 410019, Russia
References:
Abstract: The problem of external driving by the harmonic signal of two coupled self-oscillators is investigated. Comparison with the synchronization picture for phase oscillators is given. We discuss the configuration of periodic, two- and three-frequency regimes in the parameter space of external signal. The illustrations of three-frequency tori and resonance two-frequency tori are given. A number of significant differences from the bifurcation mechanisms for the destruction of synchronization are found compared with the case of phase oscillators.
Keywords: synchronization, bifurcations, quasi-periodic dynamics, chaos.
Received: 04.07.2011
Accepted: 09.08.2011
Document Type: Article
UDC: 517.9
MSC: 39Axx, 93D05
Language: Russian
Citation: A. P. Kuznetsov, I. R. Sataev, L. V. Turukina, “Forced synchronization of two coupled van der Pol self-oscillators”, Nelin. Dinam., 7:3 (2011), 411–425
Citation in format AMSBIB
\Bibitem{KuzSatTur11}
\by A.~P.~Kuznetsov, I.~R.~Sataev, L.~V.~Turukina
\paper Forced synchronization of two coupled van der Pol self-oscillators
\jour Nelin. Dinam.
\yr 2011
\vol 7
\issue 3
\pages 411--425
\mathnet{http://mi.mathnet.ru/nd267}
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  • https://www.mathnet.ru/eng/nd267
  • https://www.mathnet.ru/eng/nd/v7/i3/p411
  • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
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