A remark on locally maximal hyperbolic sets

DOI10.1016/S1631-073X(02)02274-4zbMath1042.37022MaRDI QIDQ1600123

Sylvain Crovisier

Publication date: 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Mathematics Subject Classification ID

Dynamical systems with hyperbolic orbits and sets (37D05)

Related Items (9)

Hyperbolic sets that are not contained in a locally maximal one ⋮ On certain hyperbolic sets ⋮ Lyapunov spectrum for geodesic flows of rank 1 surfaces ⋮ Intrinsic character of one property of hyperbolic sets ⋮ 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 ⋮ Robust transitivity for endomorphisms

Cites Work

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• Persistent nonhyperbolic transitive diffeomorphisms
• Differentiable dynamical systems
• Invariant manifolds

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