Recurrence and the asymptotic pseudo-orbit tracing property |
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Authors: | Rongbao Gu |
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Affiliation: | School of Finance, Nanjing University of Finance and Economics, Nanjing 210046, PR China |
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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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Keywords: | 54H20 58F03 |
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