Random chain recurrent sets for random dynamical systems
Date
2009
Authors
Chen, X.
Duan, J.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Journal article
Citation
Dynamics and Stability of Systems, 2009; 24(4):537-546
Statement of Responsibility
Xiaopeng Chen and Jinqiao Duana
Conference Name
Abstract
It is known by the Conley’s theorem that the chain recurrent set CR(’) of a deterministic flow’ on a compact metric space is the complement of the union of sets B(A) A, where A varies over the collection of attractors and B(A) is the basin of attraction of A. It has recently been shown that a similar decomposition result holds for random dynamical systems (RDSs) on non-compact separable complete metric spaces, but under a so-called absorbing condition. In the present article, the authors introduce a notion of random chain recurrent sets for RDSs, and then prove the random Conley’s theorem on non-compact separable complete metric spaces without the absorbing condition.
School/Discipline
Dissertation Note
Provenance
Description
Access Status
Rights
(c) 2009 Taylor & Francis