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Nelin. Dinam., 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 Kotelnikovs Institute of Radio-Engineering and Electronics of RAS, Saratov Branch, Saratov, Russia
b Saratov State University, Saratov, Russia

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.

Full text: PDF file (1610 kB)
References: PDF file   HTML file
UDC: 517.9
MSC: 39Axx, 93D05
Received: 21.02.2013
Revised: 28.03.2013

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 articles:
    1. A. P. Kuznetsov, E. S. Seliverstova, D. I. Trubetskov, L. V. Tyuryukina, “Fenomen uravneniya van der Polya”, Izvestiya vysshikh uchebnykh zavedenii. Prikladnaya nelineinaya dinamika, 22:4 (2014), 3–42  elib
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