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Quasi-periodic bifurcations and "amplitude death" in low-dimensional ensemble of van der Pol oscillators

  • The dynamics of the four dissipatively coupled van der Pol oscillators is considered. Lyapunov chart is presented in the parameter plane. Its arrangement is discussed. We discuss the bifurcations of tori in the system at large frequency detuning of the oscillators. Here are quasi-periodic saddle-node, Hopf and Neimark-Sacker bifurcations. The effect of increase of the threshold for the "amplitude death" regime and the possibilities of complete and partial broadband synchronization are revealed.

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Author:Yulia P. Emelianova, A. P. Kuznetsov, Ludmila V. Turukina
ISSN:0375-9601 (print)
ISSN:1873-2429 (online)
Parent Title (English):Modern physics letters : A, Particles and fields, gravitation, cosmology, nuclear physics
Place of publication:Amsterdam
Document Type:Article
Year of first Publication:2014
Year of Completion:2014
Release Date:2017/03/27
Tag:Amplitude death; Bifurcations of tori; Broadband synchronization; Chain of van der Pol oscillators
First Page:153
Last Page:157
Funder:RFBR-DFG [11-02-91334]
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Physik und Astronomie
Peer Review:Referiert