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Izvestiya VUZ. Applied Nonlinear Dynamics, 2015, Volume 23, Issue 6, Pages 40–46
(Mi ivp166)
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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
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
Linking options:
https://www.mathnet.ru/eng/ivp166 https://www.mathnet.ru/eng/ivp/v23/i6/p40
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