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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 5, Pages 863–873
(Mi nd375)
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This article is cited in 3 scientific papers (total in 3 papers)
Landau–Hopf scenario in the ensemble of interacting oscillators
Alexander P. Kuznetsov, Sergey P. Kuznetsov, Ludmila V. Turukina, I. R. Sataev Saratov Branch of Kotelnikov’s Institute of Radio-Engineering and Electronics of RAS, Saratov, Russia
Abstract:
The conditions are discussed for which the ensemble of interacting oscillators may demonstrate Landau–Hopf scenario of successive birth of multi-frequency regimes. A model is proposed in the form of a network of five globally coupled oscillators, characterized by varying degree of excitement of individual oscillators. Illustrations are given for the birth of the tori of increasing dimension by successive quasi-periodic Hopf bifurcation.
Keywords:
synchronization, bifurcations, quasi-periodic dynamics, chaos.
Received: 24.09.2012 Revised: 19.10.2012
Citation:
Alexander P. Kuznetsov, Sergey P. Kuznetsov, Ludmila V. Turukina, I. R. Sataev, “Landau–Hopf scenario in the ensemble of interacting oscillators”, Nelin. Dinam., 8:5 (2012), 863–873
Linking options:
https://www.mathnet.ru/eng/nd375 https://www.mathnet.ru/eng/nd/v8/i5/p863
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Abstract page: | 296 | Full-text PDF : | 144 | References: | 48 | First page: | 1 |
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