Geodesic
About influence of the changed harmonics on dynamics of self-oscillations in discrete time
Izvestiya VUZ. Applied Nonlinear Dynamics, Tome 23 (2015) no. 6, pp. 40-46.

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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. 
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     author = {V. V. Zaytcev and I. V. Stulov},
     title = {About influence of the changed harmonics on dynamics of self-oscillations in discrete time},
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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, Tome 23 (2015) no. 6, pp. 40-46. http://geodesic.mathdoc.fr/item/IVP_2015_23_6_a4/