CHAOS SUPPRESSION AND SPECTRUM NARROWING IN A NOISE-STABILIZED UNSTABLE NONLINEAR OSCILLATOR
Cite this article as:
Malyaev V. S., Vadivasova Т. Е., Tishina О. V., Anishenko 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: https://doi.org/10.18500/0869-6632-2009-17-1-37-45
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.
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BibTeX
author = {V. S. Malyaev and Т. Е. Vadivasova and О. V. Tishina and Vadim S. Anishenko},
title = {CHAOS SUPPRESSION AND SPECTRUM NARROWING IN A NOISE-STABILIZED UNSTABLE NONLINEAR OSCILLATOR},
year = {2009},
journal = {Izvestiya VUZ. Applied Nonlinear Dynamics},
volume = {17},number = {1},
url = {https://old-andjournal.sgu.ru/en/articles/chaos-suppression-and-spectrum-narrowing-in-noise-stabilized-unstable-nonlinear-oscillator},
address = {Саратов},
language = {russian},
doi = {10.18500/0869-6632-2009-17-1-37-45},pages = {37--45},issn = {0869-6632},
keywords = {Noise in nonlinear systems,noise stabilization of oscillations,random attractor,coherent resonance,stochastical bifurcation.},
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. }}