Pointwise Topological Stability

DOI10.1017/S0013091518000263zbMath1422.37009OpenAlexW2886703350MaRDI QIDQ5228197

Nam Jip Koo, Keon-Hee Lee, Carlos A. Morales

Publication date: 9 August 2019

Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0013091518000263

zbMATH Keywords

homeomorphismcompact manifoldexpansive homeomorphismshadowable pointtopologically stable point

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Continua theory in dynamics (37B45) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (11)

Pointwise dynamics under orbital convergence ⋮ Stability theorems in pointwise dynamics ⋮ Topological stability for fuzzy expansive maps ⋮ Unnamed Item ⋮ TOPOLOGICAL STABILITY IN HYPERSPACE DYNAMICAL SYSTEMS ⋮ Unnamed Item ⋮ Average shadowing and persistence in pointwise dynamics ⋮ Persistence and expansivity through pointwise dynamics ⋮ Pointwise topological stability and persistence ⋮ Finite-expansivity and \(N\)-shadowing ⋮ Topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces

Cites Work

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• Shadowing in dynamical systems
• Shadowable points
• Topologically stable homeomorphisms of the circle
• Entropy points and applications
• Quantitative shadowable points
• Pointwise Expansion Homeomorphisms
• Recurrence in persistent dynamical systems
• Unstable Homeomorphisms

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