Hyperbolic sets that are not locally maximal

DOI10.1017/S0143385706000411zbMath1122.37022OpenAlexW2115777931MaRDI QIDQ3419203

Todd Fisher

Publication date: 6 February 2007

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

Full work available at URL: https://doi.org/10.1017/s0143385706000411

zbMATH Keywords

hyperbolicitysymplectic diffeomorphismMarkov partitionlocally maximal invariant sets

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) 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 (14)

Hyperbolic sets that are not contained in a locally maximal one ⋮ Topological dynamics of the Weil-Petersson geodesic flow ⋮ On certain hyperbolic sets ⋮ Resolving extensions of finitely presented systems ⋮ Lyapunov spectrum for geodesic flows of rank 1 surfaces ⋮ Intrinsic character of one property of hyperbolic sets ⋮ Computer‐assisted analysis of chaos in a three‐species food chain model ⋮ Nice inducing schemes and the thermodynamics of rational maps ⋮ Local maximality of hyperbolic sets ⋮ Nonlocally maximal and premaximal hyperbolic sets ⋮ On trajectories entirely situated near a hyperbolic set ⋮ Topological horseshoe and its uniform hyperbolicity in the HP model ⋮ Unique equilibrium states, large deviations and Lyapunov spectra for the Katok map ⋮ Robust transitivity for endomorphisms

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