Shadowing and internal chain transitivity

DOI10.4064/FM222-3-4zbMath1294.37008OpenAlexW2074503682MaRDI QIDQ2845652

Jonathan Meddaugh, Brian E. Raines

Publication date: 2 September 2013

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/d37602f6930a4c8fda0644db741f107335e40144

zbMATH Keywords

omega-limit setshadowinginternal chain transitivityspace of omega-limit sets

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Symbolic dynamics (37B10) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (14)

Shadowing as a structural property of the space of dynamical systems ⋮ A characterization of \(\omega \)-limit sets in subshifts of Baire space ⋮ ABSTRACT ω-LIMIT SETS ⋮ Shifts of finite type as fundamental objects in the theory of shadowing ⋮ Recurrence, rigidity, and shadowing in dynamical systems ⋮ Shadowing, internal chain transitivity and \(\alpha \)-limit sets ⋮ Shadowing, asymptotic shadowing and s-limit shadowing ⋮ Expansivity and unique shadowing ⋮ Orbital shadowing, internal chain transitivity and -limit sets ⋮ On genericity of shadowing in one dimension ⋮ 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 ⋮ Shadowing for induced maps of hyperspaces

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