Recurrence and the asymptotic pseudo-orbit tracing property

DOI10.1016/J.NA.2006.02.044zbMath1139.37005OpenAlexW2053109757MaRDI QIDQ875277

Rong-Bao Gu

Publication date: 13 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.02.044

zbMATH Keywords

topologically transitivetopologically mixingchain recurrenceasymptotic pseudo-orbit tracing propertynonwandering map

Mathematics Subject Classification ID

Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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Cites Work

• Consequences of topological stability
• Recurrence and the shadowing property
• Pseudo-Orbit Shadowing in the Family of Tent Maps
• Shadowing Property for Inverse Limit Spaces
• Shadowing Property of Continuous Maps
• Chain transitivity, attractivity, and strong repellors for semidynamical systems
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