Shadowable points

DOI10.1080/14689367.2015.1131813zbMath1369.37030arXiv1507.00989OpenAlexW3037145627MaRDI QIDQ2820303

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Publication date: 15 September 2016

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.00989

zbMATH Keywords

shadowingpointwise recurrentchain recurrentshadowable point

Mathematics Subject Classification ID

Continua theory in dynamics (37B45) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (27)

On the eventual shadowing property and eventually shadowable point of set-valued dynamical systems ⋮ On the entropy of continuous flows with uniformly expansive points and the globalness of shadowable points with gaps ⋮ Pointwise dynamics under orbital convergence ⋮ Pointwise persistence and shadowing ⋮ Stability theorems in pointwise dynamics ⋮ Several dynamics of dynamical systems with the eventual shadowing property ⋮ Mean ergodic shadowing ⋮ On Almost Shadowable Measures ⋮ Properties of shadowable points: chaos and equicontinuity ⋮ Inverse shadowing and related measures ⋮ Weaker forms of specification for maps on uniform spaces ⋮ Unnamed Item ⋮ TOPOLOGICAL STABILITY IN HYPERSPACE DYNAMICAL SYSTEMS ⋮ Unnamed Item ⋮ Shadowable points for flows ⋮ On the shadowing property and shadowable point of set-valued dynamical systems ⋮ Average shadowing and persistence in pointwise dynamics ⋮ Measure expansivity and specification for pointwise dynamics ⋮ Positive entropy through pointwise dynamics ⋮ On the set of shadowable measures ⋮ Eventually shadowable points ⋮ Equicontinuity, expansivity, and shadowing for linear operators ⋮ Pointwise Topological Stability ⋮ Topological stability and shadowing of dynamical systems from measure theoretical viewpoint ⋮ Persistence and expansivity through pointwise dynamics ⋮ Finite-expansivity and \(N\)-shadowing ⋮ Epsilon-equicontinuous points and epsilon-shadowable points

Cites Work

• Implications of pseudo-orbit tracing property for continuous maps on compacta
• Shadowing in dynamical systems
• On recurrence in zero dimensional flows
• Homeomorphisms without the pseudo-orbit tracing property
• The structure of pointwise recurrent maps having the pseudo orbit tracing property
• An open set of maps for which every point is absolutely nonshadowable
• Almost totally disconnected minimal systems
• A nonhomogeneous minimal set
• Unnamed Item
• Unnamed Item

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