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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2013, Volume 9, Number 1, Pages 11–25
(Mi nd366)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/nd366 https://www.mathnet.ru/eng/nd/v9/i1/p11
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Statistics & downloads: |
Abstract page: | 333 | Full-text PDF : | 171 | References: | 38 | First page: | 1 |
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