Sensitivity and chaos control for the forced nonlinear oscillations / Bashkirtseva I,Ryashko L // CHAOS SOLITONS \& FRACTALS. - 2005. - V. 26, l. 5. - P. 1437-1451.

ISSN/EISSN:

0960-0779 / нет данных

Type:

Article

Abstract:

This paper is devoted to study the problem of controlling chaos for forced nonlinear dynamic systems. We suggest a new control technique based on sensitivity analysis. With the help of approximation of nonequilibrium quasipotential, stochastic sensitivity function (SSF) is constructed. This function is used as basic tool of a quantitative description for a system response on the random external disturbances. The possibilities of SSF to predict chaotic dynamics for the periodic and stochastic forced Brusselator are shown. The problem of chaos control based on SSF is considered. A design of attractors with the desired features by feedback regulator is discussed. Analysis of controllability and effective technique for regulator synthesis is presented. An example of suppressing chaos for Brusselator is considered. (c) 2005 Elsevier Ltd. All rights reserved.

Author keywords:

LIMIT-CYCLE; FEEDBACK; FLUCTUATIONS; DYNAMICS; SYSTEMS; NOISE

DOI:

10.1016/j.chaos.2005.03.029

Web of Science ID:

ISI:000230330800020

Соавторы в МНС:

Другие поля

Поле	Значение
Month	DEC
Publisher	PERGAMON-ELSEVIER SCIENCE LTD
Address	THE BOULEVARD, LANGFORD LANE, KIDLINGTON, OXFORD OX5 1GB, ENGLAND
Language	English
Keywords-Plus	LIMIT-CYCLE; FEEDBACK; FLUCTUATIONS; DYNAMICS; SYSTEMS; NOISE
Research-Areas	Mathematics; Physics
Web-of-Science-Categories	Mathematics, Interdisciplinary Applications; Physics, Multidisciplinary; Physics, Mathematical
Author-Email	lev.ryashko@usu.ru
Number-of-Cited-References	36
Usage-Count-Since-2013	3
Journal-ISO	Chaos Solitons Fractals
Doc-Delivery-Number	943CX