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

For citation:

Kuznetsov A. P., Emelianova Y. P., Seleznev E. P. Synchronization in coupled self­sustained oscillators with non­-identical parameters. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 2, pp. 62-78. DOI: 10.18500/0869-6632-2010-18-2-62-78

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2010-18-2-62-78

Synchronization in coupled self­sustained oscillators with non­-identical parameters

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

The particular properties of dynamics are discussed for dissipatively coupled van der Pol oscillators, non-identical in values of parameters controlling the Andronov–Hopf bifurcation and nonlinear dissipation. Possibility of a special synchronization regime in an infinitively long band between oscillator death and quasiperiodic areas is shown for such system. Non-identity of parameters of nonlinear dissipation results in specific form of the boundary of the main synchronization tongue, which looks like the mirror letter S. These physical features are partly revealed by means of quasiharmonic approximation and are observed in the experiments with coupled radio-electronic generators.

Key words: 
synchronization
Van der Pol oscillator
oscillator death
dynamic regime chart
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Received: 
22.07.2009
Accepted: 
22.07.2009
Published: 
30.04.2010
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