Stochastic sensitivity of regular and multi-band chaotic attractors in discrete systems with parametric noise / Bashkirtseva Irina,Ryashko Lev // PHYSICS LETTERS A. - 2017. - V. 381, l. 37. - P. 3203-3210.

ISSN/EISSN:

0375-9601 / 1873-2429

Type:

Article

Abstract:

We consider a response of nonlinear dynamic systems on random disturbances. A stochastic sensitivity of regular and chaotic attractors of discrete systems with parametric noise is studied. Cases of equilibria, cycles, one- and multi-band chaotic attractors are considered, and explicit parametric formulas for the stochastic sensitivity of these attractors are derived. We give a constructive application of this theory to the analysis of the dispersion of random states near chaotic attractors on the example of the logistic map. It is shown how this technique can be effectively used in the analysis of noise-induced crisis bifurcation of merging chaotic bands. (C) 2017 Elsevier B.V. All rights reserved.

Author keywords:

Discrete-time systems; Random disturbances; Multi-band chaotic attractors; Stochastic sensitivity; Crisis CRISES

DOI:

10.1016/j.physleta.2017.08.017

Web of Science ID:

ISI:000411543400010

Соавторы в МНС:

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Другие поля

Поле	Значение
Month	OCT 3
Publisher	ELSEVIER SCIENCE BV
Address	PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
Language	English
EISSN	1873-2429
Keywords-Plus	CRISES
Research-Areas	Physics
Web-of-Science-Categories	Physics, Multidisciplinary
Author-Email	lev.ryashko@urfu.ru
Funding-Acknowledgement	Russian Science Foundation {[}16-11-10098]
Funding-Text	The work was supported by Russian Science Foundation (No. 16-11-10098).
Number-of-Cited-References	30
Usage-Count-Last-180-days	1
Usage-Count-Since-2013	1
Journal-ISO	Phys. Lett. A
Doc-Delivery-Number	FH9PE