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Vestnik SamGU. Estestvenno-Nauchnaya Ser., 2012, Issue 3/1(94), Pages 116–122 (Mi vsgu10)  
This article is cited in 1 scientific paper (total in 1 paper)

Physics

Synchronization of fractional Van-der-Pol oscillator

V. V. Zaytcev, A. V. Karlov, I. V. Stulov

Dept. of Radiophysics and Computer Modelling of Radiotechnical Systems, Samara State University, Samara, 443011, Russian Federation
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Abstract: A model of self-oscillating system with a differential equation of motion of fractional order under the action of external harmonic signal is proposed. Solutions of equation of motion which correspond to the regime of steady-state synchronized oscillations and the regime of beats near the synchronization band are obtained in the quasiharmonic approximation. The amplitude frequency and phase-frequency characteristics of synchronization of fractional Van-der-Pol oscillator are analyzed. An analogy between the generator with a fractional feedback circuit and the generator with delayed feedback is established.
Keywords: fractional dynamics, self-oscillations systems, harmonic linearization, phase synchronization.
Received: 14.02.2012
Revised: 14.02.2012
Document Type: Article
UDC: 621.373.12
Language: Russian
Citation: V. V. Zaytcev, A. V. Karlov, I. V. Stulov, “Synchronization of fractional Van-der-Pol oscillator”, Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya, 2012, no. 3/1(94), 116–122
Citation in format AMSBIB
\Bibitem{ZayKarStu12}
\by V.~V.~Zaytcev, A.~V.~Karlov, I.~V.~Stulov
\paper Synchronization of fractional Van-der-Pol oscillator
\jour Vestnik Samarskogo Gosudarstvennogo Universiteta. Estestvenno-Nauchnaya Seriya
\yr 2012
\issue 3/1(94)
\pages 116--122
\mathnet{http://mi.mathnet.ru/vsgu10}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного университета. Естественнонаучная серия
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