Topological stability and pseudo-orbit tracing property for expansive measures

DOI10.1016/j.jde.2016.04.029zbMath1359.54020OpenAlexW2345839427MaRDI QIDQ501621

Carlos A. Morales, Keon-Hee Lee

Publication date: 9 January 2017

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2016.04.029

zbMATH Keywords

circleDirac measurehomeomorphismtopological stabilityDenjoy mapexpansive measuresPOTP (pseudo-orbit tracing property)wandering point

Mathematics Subject Classification ID

Related Items (27)

Topological stability and spectral decomposition for homeomorphisms on noncompact spaces ⋮ Stability theorems in pointwise dynamics ⋮ Topological stability for fuzzy expansive maps ⋮ Spectral decomposition and \(\Omega\)-stability of flows with expanding measures ⋮ On Almost Shadowable Measures ⋮ Topological stability and pseudo-orbit tracing property of Borel measures from the viewpoint of open covers ⋮ Lipschitz structural stability of group actions with the shadowing property ⋮ TOPOLOGICAL STABILITY IN HYPERSPACE DYNAMICAL SYSTEMS ⋮ Stability and expansivity of tent map ⋮ Topological stability and shadowing property for group actions on metric spaces ⋮ Topological stability and shadowing of zero-dimensional dynamical systems ⋮ The dynamics of nonautonomous dynamical systems with the large deviations theorem ⋮ Average shadowing and persistence in pointwise dynamics ⋮ Stability Theorems for Group Actions on Uniform Spaces ⋮ Spectral decomposition and stability of mild expansive systems ⋮ On the set of shadowable measures ⋮ Weak shadowing for actions of some finitely generated groups on non-compact spaces and related measures ⋮ Various Non-autonomous Notions for Borel Measures ⋮ Diffeomorphisms with shadowable measures ⋮ Topological stability and shadowing of dynamical systems from measure theoretical viewpoint ⋮ Persistence and expansivity through pointwise dynamics ⋮ Pointwise topological stability and persistence ⋮ A note on the expansive measures of nonautonomous dynamical systems ⋮ Topological stability and pseudo-orbit tracing property of group actions ⋮ Finite-expansivity and \(N\)-shadowing ⋮ Topological stability for flows from a Gromov-Hausdorff viewpoint ⋮ Topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces

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