Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
844392 | Nonlinear Analysis: Theory, Methods & Applications | 2007 | 9 Pages |
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.
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Authors
Rongbao Gu,