Shadowing, expansiveness and specification for \(C^1\)-conservative systems

DOI10.1016/S0252-9602(15)30005-9zbMath1340.37032arXiv1305.3473OpenAlexW2963521133MaRDI QIDQ902352

Mário Bessa, Xiao Wen, Manseob Lee

Publication date: 15 January 2016

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.3473

zbMATH Keywords

specificationshadowinggenericvolume-preservingexpansivenessstar systemsAnosov system

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (20)

Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems ⋮ Vector fields satisfying the barycenter property ⋮ The barycenter property for robust and generic diffeomorphisms ⋮ Specification property for topological spaces ⋮ Generic expansive Hamiltonian systems ⋮ A note on expansiveness and hyperbolicity for generic geodesic flows ⋮ Vector fields with the asymptotic orbital pseudo-orbit tracing property ⋮ Kinematic N-expansive continuous dynamical systems ⋮ Unnamed Item ⋮ Flows with ergodic pseudo orbit tracing property ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Continuum-wise expansiveness for non-conservative or conservative systems ⋮ Measure expansivity for \(C^1\)-conservative systems ⋮ Continuum-wise expansiveness for discrete dynamical systems ⋮ Continuum-wise expansive symplectic diffeomorphisms ⋮ Asymptotic measure-expansiveness for generic diffeomorphisms ⋮ Orbital shadowing for \(C^1\)-generic volume-preserving diffeomorphisms ⋮ Asymptotic orbital shadowing property for diffeomorphisms ⋮ Continuum-wise expansive diffeomorphisms and conservative systems

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