Periodic shadowing of vector fields

DOI10.3934/DCDS.2016.36.3623zbMath1356.37041OpenAlexW2328247264MaRDI QIDQ262038

Ming Li, Jifeng Chu, Zhao-sheng Feng

Publication date: 29 March 2016

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

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.3623

zbMATH Keywords

vector fields\(\Omega\)-stabilityhomoclinic connectionhyperbolic singularityperiodic shadowing property

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Periodic orbits of vector fields and flows (37C27) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50)

Related Items (1)

A generalized Lipschitz shadowing property for flows

Cites Work

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• Lipschitz shadowing implies structural stability
• Extended f-orbits are approximated by orbits
• 𝐶¹ Connecting Lemmas
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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