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

For citation:

Malyaev V. S., Vadivasova T. E., Tishina O. V., Anishchenko V. S. Chaos suppression and spectrum narrowing in a noise-stabilized unstable nonlinear oscillator. Izvestiya VUZ. Applied Nonlinear Dynamics, 2009, vol. 17, iss. 1, pp. 37-45. DOI: 10.18500/0869-6632-2009-17-1-37-45

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Language: 
Russian
Heading: 
Applied Problems of Nonlinear Oscillation and Wave Theory
Article type: 
Article
UDC: 
537.86:621.373
DOI: 
10.18500/0869-6632-2009-17-1-37-45

Chaos suppression and spectrum narrowing in a noise-stabilized unstable nonlinear oscillator

Autors: 
Malyaev Vladimir Sergeevich, Saratov State University
Vadivasova Tatjana Evgenevna, Saratov State University
Tishina Olga Vladimirovna, Saratov State University
Anishchenko Vadim Semenovich, Saratov State University
Abstract: 

In the present paper we study an unstable nonlinear oscillator in which the growth of amplitude of oscillations is limited by noise influence. We calculate the characteristics of noise-stabilized fluctuations. It is shown when the noise intensity changes, the system can demonstrate different effects such as the suppression of exponential instability of trajectories and the narrowing of the spectrum of fluctuations. 

Key words: 
Noise in nonlinear systems
noise stabilization of oscillations
random attractor
coherent resonance
stochastical bifurcation
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Received: 
19.06.2008
Accepted: 
19.06.2008
Published: 
30.04.2009
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