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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2015, Issue 10(132), Pages 134–142 (Mi vsgu488)  
Mathematical Modelling

Subharmonic synchronization of self-oscillations in discrete time

V. V. Zaitseva, I. V. Stulova, A. N. Shilinb

a Samara State University, 1, Acad. Pavlov Street, Samara, 443011, Russian Federation
b JSC SRC Progress, Samara, 18, Zemetsa Street, Samara, 443009, Russian Federation
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Abstract: Self-oscillations in the system oscillating in discrete time and being under the influence of an external harmonious signal are investigated. As an object of researches the option of discrete map of the oscillator of Van der Pol offered earlier by authors is brought to attention. The modes of synchronous self-oscillations are analysed by means of methods of numerical experiment and harmonic balance. It is established that the effect of subharmonic synchronization in discrete time can be realized at any relation of frequencies of synchronized self-oscillations and the synchronizing signal.
Keywords: self-oscillatory system, discrete time, substitution of frequencies, synchronization, capture of frequency.
Received: 28.07.2015
Bibliographic databases:
Document Type: Article
UDC: 621.373.1+517.938
Language: Russian
Citation: V. V. Zaitsev, I. V. Stulov, A. N. Shilin, “Subharmonic synchronization of self-oscillations in discrete time”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2015, no. 10(132), 134–142
Citation in format AMSBIB
\Bibitem{ZayStuShi15}
\by V.~V.~Zaitsev, I.~V.~Stulov, A.~N.~Shilin
\paper Subharmonic synchronization of self-oscillations in discrete time
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2015
\issue 10(132)
\pages 134--142
\mathnet{http://mi.mathnet.ru/vsgu488}
\elib{https://elibrary.ru/item.asp?id=25377159}
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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