For citation:
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
About influence of the changed harmonics on dynamics of self-oscillations in discrete time
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.
- Oppenheim A., Schafer R. Discrete-time signal processing. Prentice-Hall Inc., New Jersey, 1999. 870 p.
- Pikovsky A., Rosenblum M., Kruhts J. Synchronization: A universal concept in nonlinear sciences. Cambridge University Press, 2001. 402 p.
- Anishchenko V.S., Vadivasova T.E. Lectures on nonlinear dynamics. M.-Izhevsk: SPC «Regular and chaotic dynamics», 2011. 516 p. (in Russian).
- Zaitsev V.V. About discrete mapping the van der Pol oscillator. Fizika volnovykh protsessov i radiotekhnicheskie sistemy. 2014. Vol. 17, No 1. P. 35 (in Russian).
- Zaitsev V.V., Zaitsev O.V., Yarovoy G.P. Statistical estimates of characteristics of chaotic self-oscillations of the discrete van der Pol oscillator // Fizika volnovykh protsessov i radiotekhnicheskie sistemy. 2001. Vol. 4, No 1. P. 18 (in Russian).
- Arnold V.I. Additional chapters in the theory of ordinary differential equations. Nauka, Moscow, 1978. 304 p. (in Russian).
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