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


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Kuznetsov A. P., Paksjutov V. I., Roman J. P. Properties of synchronization in the system of nonidentical coupled van der pol and van der Pol – Duffing oscillators. Broadband synchronization. Izvestiya VUZ. Applied Nonlinear Dynamics, 2007, vol. 15, iss. 4, pp. 3-15. DOI: 10.18500/0869-6632-2007-15-4-3-15

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Russian
Article type: 
Article
UDC: 
517.9

Properties of synchronization in the system of nonidentical coupled van der pol and van der Pol – Duffing oscillators. Broadband synchronization

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Paksjutov Vladimir Igorevich, Saratov State University
Roman Julija Pavlovna, Saratov State University
Abstract: 

The particular properties of dynamics are discussed for the dissipatively coupled van der Pol oscillators, nonidentical in values of parameters controlling the Hopf bifurcation. The opportunity of a special synchronization regime in an infinitively long band between oscillation death and quasiperiodicity areas is shown for such system. The features of the bifurcation picture are observed for different values of the control parameters and for the case of additional Duffing type nonlinearity. In discussion a comparison with closed equation analysis is made.  

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Reference: 
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Received: 
01.03.2007
Accepted: 
28.05.2007
Published: 
31.07.2007
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