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

Alexander P. Kuznetsov ; Ludmila V. Turukina ; Nikolay Yu. Chernyschov

Russian journal of nonlinear dynamics, Tome 9 (2013) no. 1, pp. 11-25.

Résumé

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.

Détail

Keywords: synchronization, quasi-periodical oscillations
Mots-clés : bifurcations, chaos.

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