Hyperbolic sets with nonempty interior

DOI10.3934/DCDS.2006.15.433zbMath1112.37024OpenAlexW2081875751MaRDI QIDQ874697

Todd Fisher

Publication date: 10 April 2007

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2006.15.433

zbMATH Keywords

maximalityperiodic pointsstable and unstable manifoldshyperbolic attractorhyperbolic setAnosov diffeomorphisminteriorfolklore theoremlow dimensionalityrecurrent setrepellar

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems with hyperbolic orbits and sets (37D05) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35)

Related Items (4)

Partially hyperbolic sets with a dynamically minimal lamination ⋮ Constraints on dynamics preserving certain hyperbolic sets ⋮ Persistent massive attractors of smooth maps ⋮ Self-similar hyperbolicity

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