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


For citation:

Anishchenko V. S., Vadivasova T. E., Strelkova G. I. Self-­sustained oscillations in quasiharmonic and chaotic oscillators in the presence of fluctuations. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 4, pp. 114-126. DOI: 10.18500/0869-6632-2009-17-4-114-126

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Full text:
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Language: 
Russian
Article type: 
Review
UDC: 
537.86/87:530.182

Self-­sustained oscillations in quasiharmonic and chaotic oscillators in the presence of fluctuations

Autors: 
Anishchenko Vadim Semenovich, Saratov State University
Vadivasova Tatjana Evgenevna, Saratov State University
Strelkova Galina Ivanovna, Saratov State University
Abstract: 

The paper presents the results of the classical theory of fluctuations in the quasiharmonic van der Pol oscillator. Stochastic equations for amplitude and phase of selfsustained oscillations are formulated and then their solutions are analyzed. The autocorrelation function and power spectrum of noisy self-sustained oscillations are studied. Then the spectral and correlations characteristics of chaotic self-sustained oscillations are numerically analyzed in spiral chaos oscillators. Statistical characteristics of spiral chaos are explored both without and in the presence of fluctuations, and the obtained results are compared with the classical theory of fluctuations in the van der Pol oscillator. 

Reference: 
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  3. Анищенко В.С., Астахов В.В., Вадивасова Т.Е. Регулярные и хаотические автоколебания. Синхронизация и влияние флуктуаций. М.: Интеллект, 2009.
Received: 
23.06.2009
Accepted: 
23.06.2009
Published: 
30.10.2009
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