Approximating Chaotic Attractors by Period-Three Cycles in Discrete Stochastic Systems / Bashkirtseva Irina,Ryashko Lev // INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS. - 2015. - V. 25, l. 10.

ISSN/EISSN:

0218-1274 / 1793-6551

Type:

Article

Abstract:

We study a distribution of random states forced outwards of the general deterministic attractor (regular or chaotic) for one-dimensional discrete-time systems with unimodal map. To approximate this distribution, we replace the original system by the appropriate modeling system with stable 3-cycle and use the stochastic sensitivity function technique. Constructive abilities of the suggested approach are demonstrated in the analysis of noise-induced transitions from chaos to order.

Author keywords:

Chaotic attractor; cycle of period three; noise-induced transitions NOISE; INTERMITTENCY

DOI:

10.1142/S0218127415501382

Web of Science ID:

ISI:000361916800017

Соавторы в МНС:

Другие поля

Поле	Значение
Month	SEP
Publisher	WORLD SCIENTIFIC PUBL CO PTE LTD
Address	5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE
Language	English
Article-Number	1550138
EISSN	1793-6551
Keywords-Plus	NOISE; INTERMITTENCY
Research-Areas	Mathematics; Science \& Technology - Other Topics
Web-of-Science-Categories	Mathematics, Interdisciplinary Applications; Multidisciplinary Sciences
Author-Email	irina.bashkirtseva@urfu.ru lev.ryashko@urfu.ru
Funding-Acknowledgement	RFBR {[}14-01-00181]; Ministry of Education and Science of the Russian Federation {[}315]
Funding-Text	This work was partially supported by RFBR (14-01-00181) and by the Ministry of Education and Science of the Russian Federation (Project No. 315).
Number-of-Cited-References	17
Usage-Count-Since-2013	7
Journal-ISO	Int. J. Bifurcation Chaos
Doc-Delivery-Number	CS2QS