ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

For citation:

Kryukov A. K., Kanakov O. I., Osipov G. V. Synchronization waves in weak-nonlinear oscillatory ensembles. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 1, pp. 13-36. DOI: 10.18500/0869-6632-2009-17-1-13-36

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.391.01
DOI: 
10.18500/0869-6632-2009-17-1-13-36

Synchronization waves in weak-nonlinear oscillatory ensembles

Autors: 
Kryukov Aleksej Konstantinovich, Lobachevsky State University of Nizhny Novgorod
Kanakov Oleg Igorevich, Lobachevsky State University of Nizhny Novgorod
Osipov Grigorij Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

Synchronization is studied in ensembles of locally dissipative coupled and conservative coupled weak-nonlinear van der Pol oscillators. In the chain of N elements not less than 2 N−1 different regimes of global synchronization are stable at the same values of parameters. Cluster synchronization is considered as well. Existing of multiple fronts of synchronization switching is shown. These fronts go one through another without of changing or reflections from free boundaries. Effect of alternated inphase – antiphase synchronization is observed, which was found before in numerical simulations.

Key words: 
synchronization
multistability
numerical methods
modeling
complex Ginzburg–Landau equation
synchronization waves
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Received: 
15.08.2008
Accepted: 
01.11.2008
Published: 
30.04.2009
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