Stochastic sensitivity analysis of noise-induced intermittency and transition to chaos in one-dimensional discrete-time systems / Bashkirtseva Irina,Ryashko Lev // PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS. - 2013. - V. 392, l. 2. - P. 295-306.

ISSN/EISSN:

0378-4371 / 1873-2119

Type:

Article

Abstract:

We study a phenomenon of noise-induced intermittency for the stochastically forced one-dimensional discrete-time system near tangent bifurcation. In a subcritical zone, where the deterministic system has a single stable equilibrium, even small noises generate large-amplitude chaotic oscillations and intermittency. We show that this phenomenon can be explained by a high stochastic sensitivity of this equilibrium. For the analysis of this system, we suggest a constructive method based on stochastic sensitivity functions and confidence intervals technique. An explicit formula for the value of the noise intensity threshold corresponding to the onset of noise-induced intermittency is found. On the basis of our approach, a parametrical diagram of different stochastic regimes of intermittency and asymptotics are given. (c) 2012 Elsevier B.V. All rights reserved.

Author keywords:

Intermittency; Noise-induced chaos; Stochastic sensitivity function; Tangent bifurcation EQUATIONS; RESONANCE; ORDER

DOI:

10.1016/j.physa.2012.09.001

Web of Science ID:

ISI:000311135200001

Соавторы в МНС:

Другие поля

Поле	Значение
Month	JAN 15
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
EISSN	1873-2119
Keywords-Plus	EQUATIONS; RESONANCE; ORDER
Research-Areas	Physics
Web-of-Science-Categories	Physics, Multidisciplinary
Author-Email	lev.ryashko@usu.ru
Funding-Acknowledgement	RFBR {[}10-01-96022\_ural]; Federal Target Program {[}1.1099.2011, 2012-1.2.2-12-000-1001-004]
Funding-Text	This work was partially supported by RFBR under Grant No. 10-01-96022\_ural, and Federal Target Program Grants No. 1.1099.2011, 2012-1.2.2-12-000-1001-004.
Number-of-Cited-References	29
Usage-Count-Since-2013	13
Journal-ISO	Physica A
Doc-Delivery-Number	037VS