Topological chain and shadowing properties of dynamical systems on uniform spaces

DOI10.1016/j.topol.2020.107153zbMath1439.37020OpenAlexW3012215040MaRDI QIDQ1985688

Seyyed Alireza Ahmadi, Xinxing Wu, Guan-Rong Chen

Publication date: 7 April 2020

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2020.107153

zbMATH Keywords

uniform spacetopological chain recurrencetopological chain transitivitytopological shadowingtopologically chain mixing

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dynamics in general topological spaces (37B02) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items (16)

Topological Weak Specification and Distributional Chaos on Noncompact Spaces ⋮ Li-Yorke chaos and topological distributional chaos in a sequence ⋮ Dynamical property of hyperspace on uniform space ⋮ On shadowing system generated by a uniformly convergent mappings sequence ⋮ Inverse limits with the shadowing property ⋮ Topological stability and pseudo-orbit tracing property of Borel measures from the viewpoint of open covers ⋮ Shadowing, transitivity and a variation of omega-chaos ⋮ On Topological Shadowing and Chain Properties of IFS on Uniform Spaces ⋮ On \(n\)-scrambled sets ⋮ Strong chain transitivity via uniformity ⋮ A note on topological average shadowing property via uniformity ⋮ Unnamed Item ⋮ Topological average shadowing property on uniform spaces ⋮ Sensitivity and chaos on product and on hyperspatial semiflows ⋮ Sensitivity of Nonautonomous Dynamical Systems on Uniform Spaces ⋮ Recurrent sets and shadowing for finitely generated semigroup actions on metric spaces

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