ABOUT INFLUENCE OF THE CHANGED HARMONICS ON DYNAMICS OF SELF-OSCILLATIONS IN DISCRETE TIME
Cite this article as:
Zaitsev V. 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: https://doi.org/10.18500/0869-6632-2015-23-6-40-46
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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BibTeX
author = {V. V. Zaitsev},
title = {ABOUT INFLUENCE OF THE CHANGED HARMONICS ON DYNAMICS OF SELF-OSCILLATIONS IN DISCRETE TIME},
year = {2015},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {23},number = {6},
url = {https://old-andjournal.sgu.ru/en/articles/about-influence-of-the-changed-harmonics-on-dynamics-of-self-oscillations-in-discrete-time},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2015-23-6-40-46},pages = {40--46},issn = {0869-6632},
keywords = {nonlinear dynamics,self-oscillatory system,discrete time,change of frequencies,synchronization,capture of frequency.},
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. Download full version }}