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

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Gulay A. P., Buh A. V. The study of multistability and external synchronization in nonautonomous system of two coupled van der pol oscillators with repulsive coupling. Izvestiya VUZ. Applied Nonlinear Dynamics, 2014, vol. 22, iss. 6, pp. 94-103. DOI: 10.18500/0869-6632-2014-22-6-94-103

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Language: 
Russian
Heading: 
Science for Education
Article type: 
Article
UDC: 
537.86
DOI: 
10.18500/0869-6632-2014-22-6-94-103

The study of multistability and external synchronization in nonautonomous system of two coupled van der pol oscillators with repulsive coupling

Autors: 
Gulay Artem Petrovich, Saratov State University
Buh Andrej Vladimirovich, Saratov State University
Abstract: 

In this paper we study the bifurcational mechanisms of synchronization and multistability formation in a system of two interacting van der Pol oscillators, one of which is under external harmonic forcing. We draw a two­parametric bifurcation diagram for phasereduced system and study its evolution in transition from symmetrical to asymmetrical repulsive interaction. Relying on the results of bifurcation analysis of non­reduced system we conclude that the synchronization scenarios found in the phase­reduced system correspond to the ones in the non­reduced system.

Key words: 
synchronization
multistability
bifurcations
asymmetrical coupling
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Received: 
10.12.2014
Accepted: 
10.12.2014
Published: 
30.04.2015
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