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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2013 Volume 9, Number 1, Pages 11–25 (Mi nd366)

This article is cited 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

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.

UDC: 517.9

MSC: 39Axx, 93D05

Received: 21.02.2013
Revised: 28.03.2013



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