Divergence-free vector fields with orbital shadowing

DOI10.1186/1687-1847-2013-132zbMath1390.37035OpenAlexW2133879427WikidataQ59300553 ScholiaQ59300553MaRDI QIDQ1648712

Manseob Lee

Publication date: 27 June 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-132

zbMATH Keywords

divergence-free vector fieldsshadowingAnosovorbital shadowingstar condition

Mathematics Subject Classification ID

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

Related Items (2)

Flows with ergodic pseudo orbit tracing property ⋮ Orbital shadowing property on chain transitive sets for generic diffeomorphisms

Cites Work

• Unnamed Item
• Volume preserving diffeomorphisms with orbital shadowing
• On \(C^1\)-robust transitivity of volume-preserving flows
• Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
• Orbital and weak shadowing properties
• Structural stability of vector fields
• Stability properties of divergence-free vector fields
• Regularisation C∞ des champs vectoriels qui préservent l'élément de volume
• SHADOWING, EXPANSIVENESS AND STABILITY OF DIVERGENCE-FREE VECTOR FIELDS
• Projective hyperbolicity and fixed points
• On the Volume Elements on a Manifold

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