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


For citation:

Kuznetsov A. P., Turukina L. V. Subharmonic resonance in a system of two dissipative coupled van der Pol oscillators with external force. Izvestiya VUZ. Applied Nonlinear Dynamics, 2013, vol. 21, iss. 5, pp. 69-78. DOI: 10.18500/0869-6632-2013-21-5-69-78

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
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Language: 
Russian
Article type: 
Article
UDC: 
517.9

Subharmonic resonance in a system of two dissipative coupled van der Pol oscillators with external force

Autors: 
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: 

The problem of the excitation of two coupled oscillators is discussed in the case of the simple subharmonic resonance between the external force and eigen-frequencies of the oscillators. The corresponded phase equation is obtained. We showed that the form of the synchronization tongue and transformation of the region of the two-, three-frequency tori by varying the parameter of the coupling between the oscillators is significantly different from the case of the main resonance. We illustrated the efficiency of the phase model by the comparison of Lyapunov’s charts plotted for the case of the original system and for the phase model.

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Received: 
26.10.2012
Accepted: 
26.10.2012
Published: 
31.12.2013
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