Orbital shadowing, \(\omega\)-limit sets and minimality

DOI10.1016/j.topol.2019.106903zbMath1436.37025arXiv1909.03061OpenAlexW2976973119MaRDI QIDQ2334023

Joel Mitchell

Publication date: 6 November 2019

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

Full work available at URL: https://arxiv.org/abs/1909.03061

zbMATH Keywords

limit setspseudo-orbitorbital shadowing

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items (7)

Shadowing, internal chain transitivity and \(\alpha \)-limit sets ⋮ Expansivity and unique shadowing ⋮ Equicontinuity, transitivity and sensitivity: the Auslander-Yorke dichotomy revisited ⋮ Preservation of shadowing in discrete dynamical systems ⋮ On inverse shadowing ⋮ When is the beginning the end? On full trajectories, limit sets and internal chain transitivity ⋮ Topological stability and pseudo-orbit tracing property for homeomorphisms on uniform spaces

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