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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 4, Pages 693–717
(Mi nd1)
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This article is cited in 14 scientific papers (total in 14 papers)
Synchronization and multi-frequency oscillations in the chain of phase oscillators
A. P. Kuznetsov, I. R. Sataev, L. V. Turukina Saratov Branch of the Institute of Radio Engineering and Electronics
Abstract:
The problem of the dynamics of phase oscillators is discussed with an increasing their numbers. We discuss the organization of the parameters plane responsible for the frequency detunings of the oscillators and amplitude of the dissipative coupled. The region of complete synchronization, quasi-periodic oscillations of different dimension and chaos are are observed. We discuss the changing of the synchronization picture with an increasing of the number of oscillators in the chain. We use the method of charts of Lyapunov exponents and modification of the method of charts of dynamical regimes visualized two-frequency resonant tori of different types.
Keywords:
synchronization, phase oscillators, quasi-periodical dynamics, chaos.
Received: 28.06.2010
Citation:
A. P. Kuznetsov, I. R. Sataev, L. V. Turukina, “Synchronization and multi-frequency oscillations in the chain of phase oscillators”, Nelin. Dinam., 6:4 (2010), 693–717
Linking options:
https://www.mathnet.ru/eng/nd1 https://www.mathnet.ru/eng/nd/v6/i4/p693
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Abstract page: | 440 | Full-text PDF : | 205 | References: | 49 | First page: | 1 |
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