S-limit shadowing implies the denseness of chain components with the shadowing property

DOI10.1016/j.topol.2023.108763arXiv2307.15303OpenAlexW4388840746MaRDI QIDQ6142711

Noriaki Kawaguchi

Publication date: 4 January 2024

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

Full work available at URL: https://arxiv.org/abs/2307.15303

zbMATH Keywords

shadowinggenericlimit shadowingdensechain components

Mathematics Subject Classification ID

Continuous maps (54C05) Dynamics in general topological spaces (37B02) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Cites Work

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• Implications of pseudo-orbit tracing property for continuous maps on compacta
• \(\omega\)-limit sets for axiom A diffeomorphisms
• Chain recurrence in surface flows
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• Shadowing is generic
• Maximal chain continuous factor
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• s-limit shadowing is \(\mathcal C^0\)-dense
• Shadowing and expansivity in subspaces
• Dynamics of topologically generic homeomorphisms
• On -genericity of distributional chaos
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms
• Chain transitivity, attractivity, and strong repellors for semidynamical systems
• S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps

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