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

For citation:

Kryukov A. K., Osipov G. V., Polovinkin A. V. Variety of synchronous regimes in ensembles of nonidentical oscillators: two coupled elements. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 2, pp. 16-28. DOI: 10.18500/0869-6632-2009-17-2-16-28

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
621.391.01
DOI: 
10.18500/0869-6632-2009-17-2-16-28

Variety of synchronous regimes in ensembles of nonidentical oscillators: two coupled elements

Autors: 
Kryukov Aleksej Konstantinovich, Lobachevsky State University of Nizhny Novgorod
Osipov Grigorij Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Polovinkin Andrej Vladimirovich, Lobachevsky State University of Nizhny Novgorod
Abstract: 

We study synchronization of two coupled nonidentical Bonhoeffer–van der Pol oscillators. Coexistence of two different synchronous regimes is proved. Mechanisms of synchronous regimes origination and destruction are investigated. Fluctuations influence on syncronous regimes is considered. It is found that noise can cause: i) synchronization destruction and beating originations; ii) fluctuations-caused bistability destruction; iii) fluctuations-caused intermittency of synchronous regimes without synchronization destruction.

Key words: 
synchronization
multistability
synchronous regime
numerical methods
modeling
stochastic system
FitzHugh–Nagumo
Bonhoeffer–van der Pol
Reference: 
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Received: 
15.08.2008
Accepted: 
01.12.2008
Published: 
30.06.2009
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