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

For citation:

Emelianova Y. P., Kuznetsov A. P. Coupled self-­sustained oscillators of different nature by example of van der Pol system and brusselator. Izvestiya VUZ. Applied Nonlinear Dynamics, 2010, vol. 18, iss. 5, pp. 54-66. DOI: 10.18500/0869-6632-2010-18-5-54-66

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-2010-18-5-54-66

Coupled self-­sustained oscillators of different nature by example of van der Pol system and brusselator

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
Abstract: 

Problem of interaction between self­sustained oscillating systems of different nature is discussed by an example of coupled brusselator and van der Pol oscillator. Picture of leading oscillator changing with the growth of coupling parameter is shown. Areas of different types of dynamics are indicated in the parameter space. The case of essentially different eigenfrequencies is discussed.

Key words: 
Self-oscillations
Coupled oscillators
synchronization
quasiperiodic dynamics
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Received: 
25.03.2010
Accepted: 
25.03.2010
Published: 
31.12.2010
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