Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2012, Volume 8, Number 5, Pages 863–873 (Mi nd375)  
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
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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
Document Type: Article
UDC: 517.9
MSC: 39Axx, 93D05
Language: Russian
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
Citation in format AMSBIB
\Bibitem{KuzKuzTur12}
\by Alexander~P.~Kuznetsov, Sergey~P.~Kuznetsov, Ludmila~V.~Turukina, I.~R.~Sataev
\paper Landau--Hopf scenario in the ensemble of interacting oscillators
\jour Nelin. Dinam.
\yr 2012
\vol 8
\issue 5
\pages 863--873
\mathnet{http://mi.mathnet.ru/nd375}
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Нелинейная динамика
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