Some consequences of the shadowing property in low dimensions

DOI10.1017/ETDS.2012.195zbMath1322.37012arXiv1109.5074OpenAlexW3100347163MaRDI QIDQ2925265

Andres Koropecki, Enrique R. Pujals

Publication date: 21 October 2014

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.5074

zbMATH Keywords

expandingsurfacesshadowingtransitivepseudo-orbitsMorse-SmaleKupka-SmaleHölder-shadowing

Mathematics Subject Classification ID

Dynamical systems involving maps of the circle (37E10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Morse-Smale systems (37D15)

Related Items (4)

Continuum-wise hyperbolicity ⋮ Expansivity and shadowing in linear dynamics ⋮ Shadowing in linear skew products ⋮ Product Anosov diffeomorphisms and the two-sided limit shadowing property

Cites Work

• Unnamed Item
• Hyperbolicity, sinks and measure in one dimensional dynamics
• Shadowing in dynamical systems
• On the dynamics of dominated splitting
• Density of hyperbolicity in dimension one
• Curves von 2-manifolds and isotopies
• On semi-stability for diffeomorphisms
• Lipschitz shadowing implies structural stability
• The structure of pointwise recurrent maps having the pseudo orbit tracing property

This page was built for publication: Some consequences of the shadowing property in low dimensions