Slow relaxations and bifurcations of the limit sets of dynamical systems. II. Slow relaxations of a family of semiflows

We propose a number of approaches to the notion of the relaxation time of a dynamical system which are motivated by the problems of chemical kinetics, give exact mathematical definitions of slow relaxations, study their possible reasons, among which an important role is played by bifurcations of lim...

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Bibliographic Details
Published in:	Journal of applied and industrial mathematics Vol. 4; no. 2; pp. 182 - 190
Main Authors:	Gorban’, A. N., Cheresiz, V. M.
Format:	Journal Article
Language:	English
Published:	Dordrecht SP MAIK Nauka/Interperiodica 01-04-2010 Springer Nature B.V
Subjects:	Bifurcations Dynamical systems Mathematical analysis Mathematics Mathematics and Statistics Neighborhoods Reaction kinetics Relaxation time Studies dynamical systems slow relaxations bifurcations of limit sets compact metric spaces
Online Access:	Get full text
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Summary:	We propose a number of approaches to the notion of the relaxation time of a dynamical system which are motivated by the problems of chemical kinetics, give exact mathematical definitions of slow relaxations, study their possible reasons, among which an important role is played by bifurcations of limit sets.
Bibliography:	ObjectType-Article-2 SourceType-Scholarly Journals-1 ObjectType-Feature-1 content type line 23
ISSN:	1990-4789 1990-4797
DOI:	10.1134/S1990478910020067