Beyond topological hyperbolicity: the L-shadowing property

DOI10.1016/j.jde.2019.09.052zbMath1441.37024arXiv1902.07578OpenAlexW2979178589WikidataQ127176064 ScholiaQ127176064MaRDI QIDQ2288041

Alfonso Artigue, Welington Cordeiro, Bernardo Carvalho, José L. Vieitez

Publication date: 16 January 2020

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.07578

zbMATH Keywords

expansivenesstopological hyperbolicityL-shadowing

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems with hyperbolic orbits and sets (37D05) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items

Countably and entropy expansive homeomorphisms with the shadowing property ⋮ Continuum-wise hyperbolicity ⋮ On shadowing system generated by a uniformly convergent mappings sequence ⋮ Sensitivity, local stable/unstable sets and shadowing ⋮ Continuum-wise hyperbolic homeomorphisms on surfaces ⋮ S-limit shadowing is generic for continuous Lebesgue measure-preserving circle maps ⋮ Suspensions of homeomorphisms with the two-sided limit shadowing property ⋮ Continuum-wise expansive measures ⋮ Flows with the weak two-sided limit shadowing property ⋮ The structure of continuum-wise expansive measures ⋮ An entropy formula over the dynamical balls and its applications

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