Izvestiya VUZ. Applied Nonlinear Dynamics
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Izvestiya VUZ. Applied Nonlinear Dynamics, 2015, Volume 23, Issue 6, Pages 40–46 (Mi ivp166)  

APPLIED PROBLEMS OF NONLINEAR OSCILLATION AND WAVE THEORY

About influence of the changed harmonics on dynamics of self-oscillations in discrete time

V. V. Zaytcev, I. V. Stulov

Samara State University
Abstract: The effect arising in discrete time at interaction of self-oscillations with higher harmonics of the main frequency is described. It is shown that it is similar to effect of capture of the frequency (synchronization) of self-oscillations by an external harmonic signal. As the discrete oscillator formally is autonomous system, the effect is classified as self-capture of frequency or self-synchronization. Self-capture is analysed by method of slow-changing amplitudes. It is specified that via the mechanism of self-synchronization the binding of frequency of discrete self-oscillations to sampling frequency is carried out.
Keywords: Nonlinear dynamics, self-oscillatory system, discrete time, change of frequencies, synchronization, capture of frequency.
Received: 07.09.2015
Document Type: Article
UDC: 621.373.12, 517.938
Language: Russian
Citation: V. V. Zaytcev, I. V. Stulov, “About influence of the changed harmonics on dynamics of self-oscillations in discrete time”, Izvestiya VUZ. Applied Nonlinear Dynamics, 23:6 (2015), 40–46
Citation in format AMSBIB
\Bibitem{ZayStu15}
\by V.~V.~Zaytcev, I.~V.~Stulov
\paper About influence of the changed harmonics on dynamics of self-oscillations in discrete time
\jour Izvestiya VUZ. Applied Nonlinear Dynamics
\yr 2015
\vol 23
\issue 6
\pages 40--46
\mathnet{http://mi.mathnet.ru/ivp166}
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