Hyperbolicity and types of shadowing for \(C^1\) generic vector fields

DOI10.3934/dcds.2014.34.2963zbMath1341.37012arXiv1305.2977OpenAlexW2963782565MaRDI QIDQ2438703

Raquel Ribeiro

Publication date: 6 March 2014

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

Full work available at URL: https://arxiv.org/abs/1305.2977

zbMATH Keywords

hyperbolicityshadowingchain transitivitylimit shadowinggeneric vector fields

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) 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

Eventual shadowing for chain transitive sets of $C^1$ generic dynamical systems, Vector fields satisfying the barycenter property, Robustly shadowable chain transitive sets and hyperbolicity, Vector fields with the asymptotic orbital pseudo-orbit tracing property, Unnamed Item, Vector fields with stably limit shadowing, Flows with ergodic pseudo orbit tracing property, Chain components with stably limit shadowing property are hyperbolic, Weak dual pairs and jetlet methods for ideal incompressible fluid models in \(n \geq 2\) dimensions, Unnamed Item, Conservative flows with various types of shadowing, A type of the shadowing properties for generic view points, Oriented shadowing property and \(\Omega\)-stability for vector fields

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