The structure of pointwise recurrent maps having the pseudo orbit tracing property

DOI10.1017/S0027763000008266zbMath1027.37007OpenAlexW1643892137MaRDI QIDQ4545220

Xiang Dong Ye, Jie Hua Mai

Publication date: 14 August 2002

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000008266

zbMATH Keywords

Anosov diffeomorphismsrecurrencepseudo orbit tracing propertyadding-machine-like map

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (13)

Some consequences of the shadowing property in low dimensions ⋮ Shadowing, entropy and minimal subsystems ⋮ Recurrence, rigidity, and shadowing in dynamical systems ⋮ The structure of pointwise recurrent expansive homeomorphisms ⋮ The structures of pointwise recurrent quasi-graph maps ⋮ Weak forms of shadowing in topological dynamics ⋮ Shadowing property, weak mixing and regular recurrence ⋮ Suspensions of homeomorphisms with the two-sided limit shadowing property ⋮ Topological semi-conjugacies between adding machines ⋮ Products and decompositions of adding machines ⋮ Tree maps having chain movable fixed points ⋮ Implications of pseudo-orbit tracing property for continuous maps on compacta ⋮ Shadowable points

Cites Work

• Shadowing Property of Continuous Maps with Zero Topological Entropy
• Homeomorphisms without the pseudo-orbit tracing property
• Recurrent surface homeomorphisms
• Unnamed Item

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