Orbital shadowing, internal chain transitivity and -limit sets

DOI10.1017/etds.2016.30zbMath1387.37012OpenAlexW2474456251MaRDI QIDQ4643234

Jonathan Meddaugh, Chris Good

Publication date: 24 May 2018

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: http://pure-oai.bham.ac.uk/ws/files/25554312/ESOPSCorrections.pdf

zbMATH Keywords

Hausdorff metricorbital limit shadowing

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Symbolic dynamics (37B10) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (19)

Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems ⋮ On the eventual shadowing property and eventually shadowable point of set-valued dynamical systems ⋮ A characterization of \(\omega \)-limit sets in subshifts of Baire space ⋮ Pointwise persistence and shadowing ⋮ Vector fields with the asymptotic orbital pseudo-orbit tracing property ⋮ Recurrence, rigidity, and shadowing in dynamical systems ⋮ Several dynamics of dynamical systems with the eventual shadowing property ⋮ Shadowing, internal chain transitivity and \(\alpha \)-limit sets ⋮ Shadowing, asymptotic shadowing and s-limit shadowing ⋮ ON THE DENSITY OF VARIOUS SHADOWING PROPERTIES ⋮ Unnamed Item ⋮ Expansivity and unique shadowing ⋮ Eventually shadowable points ⋮ Preservation of shadowing in discrete dynamical systems ⋮ When is the beginning the end? On full trajectories, limit sets and internal chain transitivity ⋮ Weak specification and Baire space ⋮ Asymptotic orbital shadowing property for diffeomorphisms ⋮ EXPANDING MEASURES FOR HOMEOMORPHISMS WITH EVENTUALLY SHADOWING PROPERTY ⋮ Orbital shadowing, \(\omega\)-limit sets and minimality

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• Shadowing and -limit sets of circular Julia sets
• A characterization of ω-limit sets for piecewise monotone maps of the interval
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• Chain transitivity, attractivity, and strong repellors for semidynamical systems

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