Hyperbolicity through stable shadowing for generic geodesic flows

DOI10.1016/j.physd.2020.132423zbMath1493.37035OpenAlexW3007109346MaRDI QIDQ2115523

Mário Bessa, João Lopes Dias, Maria Joana Torres

Publication date: 17 March 2022

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/1822/64191

zbMATH Keywords

geodesic flowspecificationshadowinghyperbolic sets

Mathematics Subject Classification ID

Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Dynamical systems with hyperbolic orbits and sets (37D05) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (1)

Expansiveness and hyperbolicity in convex billiards

Cites Work

• Unnamed Item
• The specification property for flows from the robust and generic viewpoint
• A new proof of Franks' lemma for geodesic flows
• Geodesic flows with positive topological entropy, twist maps and hyperbolicity
• Persistently expansive geodesic flows
• Ergodic theory on compact spaces
• Genericity of geodesic flows with positive topological entropy on \(S^2\)
• Closing geodesics in \(C^1\) topology
• On shadowing and hyperbolicity for geodesic flows on surfaces
• Generic properties of geodesic flows
• Shades of hyperbolicity for Hamiltonians
• Diffeomorphisms satisfying the specification property
• Type des points fixes des difféomorphismes symplectiques de $\bbfT{}\sp n\times{}\bbfR{}\sp n$
• Periodic Points and Measures for Axiom a Diffeomorphisms
• Generic Properties of Conservative Systems

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