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

For citation:

Emelianova Y. P., Kuznetsov A. P., Turukina L. V. Dynamics of three coupled van der Pol oscillators with non-identical controlling parameters. Izvestiya VUZ. Applied Nonlinear Dynamics, 2011, vol. 19, iss. 5, pp. 76-90. DOI: 10.18500/0869-6632-2011-19-5-76-90

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Language: 
Russian
Heading: 
Bifurcations in Dynamical Systems
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2011-19-5-76-90

Dynamics of three coupled van der Pol oscillators with non-identical controlling parameters

Autors: 
Emelianova Yulija Pavlovna, Saratov State University
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Turukina L. V., Saratov State University
Abstract: 

We consider the chain of three dissipatively coupled self-oscillating systems with non-identical controlling parameters. We observe situations, when coupling damps different oscillators. The structure of the frequency mismatch – coupling value parameter plane is investigated with a view to the location of oscillator death area, complete synchronization area, two- and three-frequency quasiperiodic regimes. Features, connected with non-identity in controlling parameters, are considered. A possibility of complete broadband synchronization regimes and two-frequency broadband synchronization regimes is demonstrated.

Key words: 
synchronization
Coupled oscillators
quasiperiodic dynamics
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Received: 
28.03.2011
Accepted: 
12.10.2011
Published: 
30.12.2011
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