on the topology of the chain recurrent set of a dynamical system
;Seyyed Alireza Ahmadi
Health and quality of life outcomes2014Vol. 15pp. 167-174
119
ahmadi2014appliedon
Abstract
n this paper we associate a pseudo-metric to a dynamical system on a compact metric space. We show that this pseudo-metric is identically zero if and only if the system is chain transitive. If we associate this pseudo-metric to the identity map, then we can present a characterization for connected and totally disconnected metric spaces.