Generic diffeomorphisms with weak limit shadowing

DOI10.1186/1687-1847-2013-27zbMath1372.37042OpenAlexW2102297245WikidataQ59301882 ScholiaQ59301882MaRDI QIDQ2360528

Gang Lu, Manseob Lee, Keon-Hee Lee

Publication date: 4 July 2017

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-27

zbMATH Keywords

weak limit shadowing\(\Omega\)-stable

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Partially hyperbolic systems and dominated splittings (37D30) Dynamical systems involving smooth mappings and diffeomorphisms (37C05)

Related Items (4)

Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems ⋮ Symplectic diffeomorphisms with limit shadowing ⋮ Unnamed Item ⋮ Asymptotic orbital shadowing property for diffeomorphisms

Cites Work

• The specification property for flows from the robust and generic viewpoint
• Periodic orbits and expansiveness
• Stability theorems and hyperbolicity in dynamical systems
• Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
• Shadowing in dynamical systems
• Diffeomorphisms satisfying the specification property
• Diffeomorphisms in ℱ¹(M) satisfy Axiom A
• Diffeomorphisms with thes-limit shadowing property
• Hyperbolic sets with the strong limit shadowing property

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