Vector fields with stable shadowable property on closed surfaces

DOI10.1007/s10114-010-9418-3zbMath1205.37035OpenAlexW2156711375MaRDI QIDQ606293

Sheng Zhi Zhu

Publication date: 17 November 2010

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-010-9418-3

zbMATH Keywords

shadowingMorse-smale vector fieldpseudo orbitstable shadowable

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Flows on surfaces (37E35) Morse-Smale systems (37D15)

Related Items (1)

Dominated splitting of differentiable dynamics with \(\mathrm{C}^1\)-topological weak-star property

Cites Work

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• \(\omega\)-limit sets for axiom A diffeomorphisms
• Shadowing for linear systems of differential equations
• Pseudo-orbit tracing property and strong transversality of diffeomorphisms on closed manifolds
• Conditions of \(C^0\) flows on closed surfaces having the pseudo-orbit tracing property
• Shadowing in dynamical systems
• Orbital and weak shadowing properties
• Pseudo-orbit shadowing in the \(C^1\) topology
• Vector fields with topological stability
• Pas de “Shadowing lemma” pour les dynamiques partiellement hyperboliques
• An open set of maps for which every point is absolutely nonshadowable

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