ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Zaitsev V. V., Stulov I. V. About influence of the changed harmonics on dynamics of self-oscillations in discrete time. Izvestiya VUZ. Applied Nonlinear Dynamics, 2015, vol. 23, iss. 6, pp. 40-46. DOI: 10.18500/0869-6632-2015-23-6-40-46

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621.373.12, 517.938

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

Zaitsev Valerij Vasilevich, Samara National Research University
Stulov Igor Valerevich, Samara National Research University

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. 

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