Analysis of noise-induced transitions from regular to chaotic oscillations in the Chen system
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review
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Original language | English |
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Article number | 33104 |
Journal / Publication | Chaos |
Volume | 22 |
Issue number | 3 |
Publication status | Published - 5 Jul 2012 |
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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.
In: Chaos, Vol. 22, No. 3, 33104, 05.07.2012.
Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review