Stochastic sensitivity analysis of noise-induced order-chaos transitions in discrete-time systems with tangent and crisis bifurcations / Bashkirtseva Irina,Ryashko Lev // PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS. - 2017. - V. 467, l. . - P. 573-584.

ISSN/EISSN:

0378-4371 / 1873-2119

Type:

Article

Abstract:

We study noise-induced order-chaos transitions in discrete-time systems with tangent and crisis bifurcations. To study these transitions parametrically, we suggest a generalized mathematical technique using stochastic sensitivity functions and confidence domains for randomly forced equilibria, cycles, and chaotic attractors. This technique is demonstrated in detail for the simple one-dimensional stochastic system, in which points of crisis and tangent bifurcations are borders of the order window lyingbetween two chaotic parametric zones. A stochastic phenomenon of the extension and shift of this window towards crisis bifurcation point, under increasing noise, is presented and analyzed. Shifts of borders of this order window are found as functions of the noise intensity. By our analytical approach based on stochastic sensitivity functions, we construct a parametric diagram of chaotic and regular regimes for the stochastically forced system. (C) 2016 Elsevier B.V. All rights reserved.

Author keywords:

Discrete systems; Random disturbances; Stochastic sensitivity functions; Chaos MULTISTABLE SYSTEMS; PERIODIC FLOWS; INTERMITTENCY; ATTRACTORS; SYNCHRONIZATION; EQUATIONS; DYNAMICS; MODEL

DOI:

10.1016/j.physa.2016.09.048

Web of Science ID:

ISI:000389389500054

Соавторы в МНС:

Другие поля

Поле	Значение
Month	FEB 1
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
EISSN	1873-2119
Keywords-Plus	MULTISTABLE SYSTEMS; PERIODIC FLOWS; INTERMITTENCY; ATTRACTORS; SYNCHRONIZATION; EQUATIONS; DYNAMICS; MODEL
Research-Areas	Physics
Web-of-Science-Categories	Physics, Multidisciplinary
Author-Email	lev.ryashko@urfu.ru
Funding-Acknowledgement	Russian Science Foundation {[}N 16-11-10098]
Funding-Text	The work was supported by Russian Science Foundation (N 16-11-10098).
Number-of-Cited-References	44
Usage-Count-Last-180-days	3
Usage-Count-Since-2013	9
Journal-ISO	Physica A
Doc-Delivery-Number	EE2BU