Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 1, Pages 11–25 (Mi nd366)  
This article is cited in 1 scientific paper (total in 1 paper)

Dynamics and synchronization of the three coupled oscillators with reactive type of coupling

Alexander P. Kuznetsova, Ludmila V. Turukinaa, Nikolay Yu. Chernyschovb

a Kotel’nikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, Saratov, Russia
b Saratov State University, Saratov, Russia
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Abstract: A phenomenon of interaction between three reactively coupled van der Pol oscillators is considered in the paper. Phase equations are being obtained in second order approximation. Bifurcation analysis and Lyapunov's exponent maps are used for illustrating system behavior. The paper consider significant features of reactive coupling. Complicated original system behavior with steering parameter growth is being considered too.
Keywords: synchronization, quasi-periodical oscillations, bifurcations, chaos.
Received: 21.02.2013
Revised: 28.03.2013
Document Type: Article
UDC: 517.9
MSC: 39Axx, 93D05
Language: Russian
Citation: Alexander P. Kuznetsov, Ludmila V. Turukina, Nikolay Yu. Chernyschov, “Dynamics and synchronization of the three coupled oscillators with reactive type of coupling”, Nelin. Dinam., 9:1 (2013), 11–25
Citation in format AMSBIB
\Bibitem{KuzTurChe13}
\by Alexander~P.~Kuznetsov, Ludmila~V.~Turukina, Nikolay~Yu.~Chernyschov
\paper Dynamics and synchronization of the three coupled oscillators with reactive type of coupling
\jour Nelin. Dinam.
\yr 2013
\vol 9
\issue 1
\pages 11--25
\mathnet{http://mi.mathnet.ru/nd366}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Нелинейная динамика
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