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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 3, Pages 411–425
(Mi nd267)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/nd267 https://www.mathnet.ru/eng/nd/v7/i3/p411
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Abstract page: | 479 | Full-text PDF : | 165 | References: | 50 | First page: | 1 |
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