Article ID Journal Published Year Pages File Type
844392 Nonlinear Analysis: Theory, Methods & Applications 2007 9 Pages PDF
Abstract

In this paper, asymptotic pseudo-orbits and the asymptotic pseudo-orbit tracing property are considered for continuous maps from a compact metric space into itself. We investigate transitive properties and recurrent properties for a map with the asymptotic pseudo-orbit tracing property. In particular, a condition for which a homeomorphism is a non-wandering homeomorphism is obtained.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
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