Stochastic sensitivity of the closed invariant curves for discrete-time systems / Bashkirtseva Irina,Ryashko Lev // PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS. - 2014. - V. 410, l. . - P. 236-243.

ISSN/EISSN:

0378-4371 / 1873-2119

Type:

Article

Abstract:

Discrete-time nonlinear systems with invariant closed smooth curves forced by random disturbances are studied. Constructive approximations of the corresponding probabilistic distributions near these curves based on stochastic sensitivity functions are suggested. For stochastic sensitivity matrix functions, the linear equations are obtained. For descriptive visualization of this technique, a method of confidence domains is used. The elaborated theory is illustrated on the example of the two-dimensional model. (C) 2014 Elsevier B.V. All rights reserved.

Author keywords:

Discrete system; Stochastic disturbances; Invariant curves; Stochastic sensitivity functions NOISE; CHAOS; INTERMITTENCY; TRANSITIONS; ORDER

DOI:

10.1016/j.physa.2014.05.037

Web of Science ID:

ISI:000339532900024

Соавторы в МНС:

Другие поля

Поле	Значение
Month	SEP 15
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
EISSN	1873-2119
Keywords-Plus	NOISE; CHAOS; INTERMITTENCY; TRANSITIONS; ORDER
Research-Areas	Physics
Web-of-Science-Categories	Physics, Multidisciplinary
Author-Email	lev.ryashko@urfu.ru
Funding-Acknowledgement	RFBR {[}14-01-00181]
Funding-Text	This work was partially supported by RFBR (14-01-00181).
Number-of-Cited-References	32
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	9
Journal-ISO	Physica A
Doc-Delivery-Number	AM0JW