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Kuznetsov A. P., Turukina L. V., Sataev I. R., Chernyshov N. Y. Synchronization and multi-frequency quasi-periodicity in the dynamics of coupled oscillators. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 1, pp. 27-54. DOI: 10.18500/0869-6632-2014-22-1-27-54

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Synchronization and multi-frequency quasi-periodicity in the dynamics of coupled oscillators

Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Turukina L. V., Saratov State University
Sataev Igor Rustamovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Chernyshov Nikolaj Yurevich, Saratov State University

The dynamics of ensembles of oscillators containing a small number of bibitemlits is discussed. The possible types of regimes and pecularities of bifurcations of regular and quasi-periodic attractors are analyzed. By using the method of Lyapunov exponents charts the picture of  embedding of quasi-periodic regimes of different dimension in the parameter space is revealed. Dynamics of ensembles of van der Pol and phase oscillators are compared.

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