NOISE-INDUCED CHAOS AND BACKWARD STOCHASTIC BIFURCATIONS IN THE LORENZ MODEL / Bashkirtseva Irina,Ryashko Lev,Stikhin Pavel // INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. - 2013. - V. 23, l. 5.

ISSN/EISSN:

0218-1274 / 1793-6551

Type:

Article

Abstract:

We study the phenomena of stochastic D- and P-bifurcations of randomly forced limit cycles for the Lorenz model. As noise intensity increases, regular multiple limit cycles of this model in a period-doubling bifurcations zone are deformed to be stochastic attractors that look chaotic (D-bifurcation) and their multiplicity is reduced (P-bifurcation). In this paper for the comparative investigation of these bifurcations, the analysis of Lyapunov exponents and stochastic sensitivity function technique are used. A probabilistic mechanism of backward stochastic bifurcations for cycles of high multiplicity is analyzed in detail. We show that for a limit cycle with multiplicity two and higher, a threshold value of the noise intensity which marks the onset of chaos agrees with the first backward stochastic bifurcation.

Author keywords:

Noise-induced chaos; backward stochastic bifurcation; stochastic sensitivity function; Lorenz model PERIODIC ATTRACTORS; SYSTEMS; FLUCTUATIONS; 3D-CYCLES

DOI:

10.1142/S0218127413500922

Web of Science ID:

ISI:000320059800020

Соавторы в МНС:

Другие поля

Поле	Значение
Month	MAY
Publisher	WORLD SCIENTIFIC PUBL CO PTE LTD
Address	5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Language	English
Article-Number	1350092
EISSN	1793-6551
Keywords-Plus	PERIODIC ATTRACTORS; SYSTEMS; FLUCTUATIONS; 3D-CYCLES
Research-Areas	Mathematics; Science \& Technology - Other Topics
Web-of-Science-Categories	Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
Author-Email	irina.bashkirtseva@usu.ru lev.ryashko@usu.ru
Funding-Acknowledgement	Ministry of Education and Science of Russia {[}1.1099.2011, 14.A18.21.0364]; RFBR {[}13-08-00069]
Funding-Text	This work was partially supported by the Ministry of Education and Science of Russia (projects 1.1099.2011, 14.A18.21.0364) and RFBR (13-08-00069).
Number-of-Cited-References	34
Usage-Count-Last-180-days	2
Usage-Count-Since-2013	28
Journal-ISO	Int. J. Bifurcation Chaos
Doc-Delivery-Number	159QF