On homeomorphisms with the two-sided limit shadowing property

DOI10.1016/j.jmaa.2014.06.011zbMath1310.37013arXiv1402.0674OpenAlexW2043547957MaRDI QIDQ2252105

Dominik Kwietniak, Bernardo Carvalho

Publication date: 16 July 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1402.0674

zbMATH Keywords

subshift of finite typetransitivitypseudo-orbitshadowingtopologically mixinglimit shadowingtwo-sided limit shadowing

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (28)

\(n\)-expansive homeomorphisms with the shadowing property ⋮ Partial hyperbolicity and pseudo orbit tracing properties ⋮ Mixing-like properties for some generic and robust dynamics ⋮ Specification and shadowing properties for non-autonomous systems ⋮ Exploring stronger forms of transitivity on G-spaces ⋮ Chain recurrence and average shadowing in dynamics ⋮ Unnamed Item ⋮ Positively \(N\)-expansive homeomorphisms and the L-shadowing property ⋮ Continuum-wise hyperbolicity ⋮ Sensitivity, local stable/unstable sets and shadowing ⋮ Unnamed Item ⋮ Specification and shadowing properties of free semigroup actions ⋮ Unnamed Item ⋮ Periodic shadowing and standard shadowing property ⋮ Suspensions of homeomorphisms with the two-sided limit shadowing property ⋮ Expansivity and unique shadowing ⋮ Various shadowing properties for time varying maps ⋮ Unnamed Item ⋮ On specification and measure expansiveness ⋮ Flows with the weak two-sided limit shadowing property ⋮ Beyond topological hyperbolicity: the L-shadowing property ⋮ Unnamed Item ⋮ When is the beginning the end? On full trajectories, limit sets and internal chain transitivity ⋮ Asymptotic orbital shadowing property for diffeomorphisms ⋮ Unnamed Item ⋮ Product Anosov diffeomorphisms and the two-sided limit shadowing property ⋮ Shadowing, ergodic shadowing and uniform spaces ⋮ A Note on Furstenburg Families and Shadowing in Topological Spaces

Cites Work

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• Ergodic theory on compact spaces
• The average-shadowing property and transitivity for continuous flows
• Shadowing in dynamical systems
• A unified approach to theories of shadowing
• Varios shadowing properties and their equivalence
• TRANSITIVITY, TWO-SIDED LIMIT SHADOWING PROPERTY AND DENSE ω-CHAOS
• Metric properties of minimal solutions of discrete periodical variational problems
• Expansive Homeomorphisms and Topological Dimension
• Limit shadowing property
• An Introduction to Symbolic Dynamics and Coding
• On almost specification and average shadowing properties
• Hyperbolicity, transitivity and the two-sided limit shadowing property

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