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JOURNALS // Izvestiya VUZ. Applied Nonlinear Dynamics // Archive

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.

UDC: 621.373.12, 517.938

Received: 07.09.2015



© Steklov Math. Inst. of RAS, 2024