Analysis of noise-induced transitions from regular to chaotic oscillations in the Chen system / Bashkirtseva Irina,Chen Guanrong,Ryashko Lev // CHAOS. - 2012. - V. 22, l. 3.

ISSN/EISSN:

1054-1500 / 1089-7682

Type:

Article

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. (C) 2012 American Institute of Physics. {[}http://dx.doi.org/10.1063/1.4732543]

Author keywords:

MULTISTABILITY; SENSITIVITY; BIFURCATION; RESONANCE; 3D-CYCLES; ORDER

DOI:

10.1063/1.4732543

Web of Science ID:

ISI:000309427500004

Соавторы в МНС:

Другие поля

Поле	Значение
Month	SEP
Publisher	AMER INST PHYSICS
Address	1305 WALT WHITMAN RD, STE 300, MELVILLE, NY 11747-4501 USA
Language	English
Article-Number	033104
EISSN	1089-7682
Keywords-Plus	MULTISTABILITY; SENSITIVITY; BIFURCATION; RESONANCE; 3D-CYCLES; ORDER
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Applied; Physics, Mathematical
ORCID-Numbers	Chen, Guanrong/0000-0003-1381-7418
Funding-Acknowledgement	Hong Kong Research Grants Council {[}CityU 1117/10E]; RFBR {[}10-01-96022ural]; Federal Target Program {[}1.1099.2011]
Funding-Text	G.C. acknowledges the Hong Kong Research Grants Council for the GRF Grant CityU 1117/10E. I. B. and L. R. were partially supported by the RFBR Grant 10-01-96022ural and Federal Target Program 1.1099.2011.
Number-of-Cited-References	41
Usage-Count-Since-2013	13
Journal-ISO	Chaos
Doc-Delivery-Number	015EE