Analysis of noise-induced transitions from regular to chaotic oscillations in the Chen system

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review

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Original languageEnglish
Article number33104
Journal / PublicationChaos
Volume22
Issue number3
Publication statusPublished - 5 Jul 2012

Abstract

The stochastically perturbed Chen system is studied within the parameter region which permits both regular and chaotic oscillations. As noise intensity increases and passes some threshold value, noise-induced hopping between close portions of the stochastic cycle can be observed. Through these transitions, the stochastic cycle is deformed to be a stochastic attractor that looks like chaotic. In this paper for investigation of these transitions, a constructive method based on the stochastic sensitivity function technique with confidence ellipses is suggested and discussed in detail. Analyzing a mutual arrangement of these ellipses, we estimate the threshold noise intensity corresponding to chaotization of the stochastic attractor. Capabilities of this geometric method for detailed analysis of the noise-induced hopping which generates chaos are demonstrated on the stochastic Chen system. © 2012 American Institute of Physics.

Citation Format(s)

Analysis of noise-induced transitions from regular to chaotic oscillations in the Chen system. / Bashkirtseva, Irina; Chen, Guanrong; Ryashko, Lev.
In: Chaos, Vol. 22, No. 3, 33104, 05.07.2012.

Research output: Journal Publications and ReviewsRGC 21 - Publication in refereed journalpeer-review