Constructive analysis of noise-induced transitions for coexisting periodic attractors of the Lorenz model / Bashkirtseva Irina,Ryashko Lev // PHYSICAL REVIEW E. - 2009. - V. 79, l. 4, 1.

ISSN/EISSN:

2470-0045 / 2470-0053

Type:

Article

Abstract:

We study the stochastically forced Lorenz model in the parameter zone admitting two coexisting limit cycles under the transition to chaos via period-doubling bifurcations. Noise-induced transitions between both different parts of the single attractor and two coexisting separate attractors are demonstrated. The effects of structural stabilization and noise symmetrization are discussed. We suggest a stochastic sensitivity function technique for the analysis of noise-induced transitions between two coexisting limit cycles. This approach allows us to construct the dispersion ellipses of random trajectories for any Poincare sections. Possibilities of our descriptive-geometric method for a detailed analysis of noise-induced transitions between two periodic attractors of Lorenz model are demonstrated.

Author keywords:

bifurcation; chaos; Lorentz transformation; noise; Poincare mapping; stochastic processes SUPERNARROW SPECTRAL PEAKS; STOCHASTIC RESONANCE; SENSITIVITY-ANALYSIS; LIMIT-CYCLE; SYSTEMS; CHAOS; MULTISTABILITY; FLUCTUATIONS; BEHAVIOR

DOI:

10.1103/PhysRevE.79.041106

Web of Science ID:

ISI:000265941300017

Соавторы в МНС:

Другие поля

Поле	Значение
Month	APR
Publisher	AMER PHYSICAL SOC
Address	ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA
Language	English
Article-Number	041106
EISSN	2470-0053
Keywords-Plus	SUPERNARROW SPECTRAL PEAKS; STOCHASTIC RESONANCE; SENSITIVITY-ANALYSIS; LIMIT-CYCLE; SYSTEMS; CHAOS; MULTISTABILITY; FLUCTUATIONS; BEHAVIOR
Research-Areas	Physics
Web-of-Science-Categories	Physics, Fluids \& Plasmas; Physics, Mathematical
Author-Email	lev.ryashko@usu.ru
Funding-Acknowledgement	RFBR {[}07-01-96079\_ural, 09-01-00026, 09-08-00048]; Federal Education Agency {[}2.1.1/2571]
Funding-Text	This work was partially supported by RFBR under Grant No. 07-01-96079\_ural, 09-01-00026, 09-08-00048, and Federal Education Agency Grant No. 2.1.1/2571.
Number-of-Cited-References	39
Usage-Count-Since-2013	4
Journal-ISO	Phys. Rev. E
Doc-Delivery-Number	443WK