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ISSN 2542-1905 (Online)

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Kuznetsov A. P., Turukina L. V. Synchronization of self-oscillating Van der Pol - duffing system by the short pulses. Izvestiya VUZ. Applied Nonlinear Dynamics, 2004, vol. 12, iss. 5, pp. 16-31. DOI: 10.18500/0869-6632-2004-12-5-16-31

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Synchronization of self-oscillating Van der Pol - duffing system by the short pulses

Kuznetsov Aleksandr Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Turukina L. V., Saratov State University

The brief review of the works devoted to features of dynamics of nonautonomous systems with a limit cycle as a circle and Van der Pol system under the periodic sequence of delta-pulses is given. Dynamics of Van der Pol - Duffing system under such sequence of pulses is considered. 2D and 1D maps are constructed using the method of slow amplitudes. Structure of the parameter space (period and amplitude of the pulses) of these maps and differential system is studied. The role of cubic nonlinearity typical for Van der Pol - Duffing system is discussed.

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The work was supported by the grants АФГИР REC-006, № Y2-P-06-13 under the programme «Basic research and higher education» and Russian Foundation for Basic Research, grant № 03-02-16074.

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