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


For citation:

Kuznetsov A. P., Milovanov S. V. Subharmonic resonance in Van der Pol system. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 3, pp. 74-83. DOI: 10.18500/0869-6632-2004-12-3-74-83

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Language: 
Russian
Article type: 
Article
UDC: 
517.9

Subharmonic resonance in Van der Pol system

Autors: 
Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Milovanov Sergey Viktorovich, Saratov State University
Abstract: 

The article deals with the resonance in Van der Pol system when the frequency of external force is in close proximity to triple natural frequency of autonomous system. The method of slowly verifying amplitude for this system is presented, the amplitude equation is obtained. The shape of the synchronization tongue and possible bifurcations are also discussed. The article can be useful to the lecturers in Oscillation Theory and Nonlinear Dynamics.

Key words: 
Acknowledgments: 
The work was supported by the grant of АФГИР REC-006 and Russian Foundation for Basic Research, grant 03-02-16074.
Reference: 

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Received: 
22.12.2003
Accepted: 
11.06.2004
Published: 
23.12.2004