Zero topological entropy for \(C^1\) generic vector fields

DOI10.1016/J.CHAOS.2018.01.034zbMath1390.37011OpenAlexW2788475902MaRDI QIDQ1754491

Manseob Lee

Publication date: 31 May 2018

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2018.01.034

zbMATH Keywords

topological entropyMorse-Smale diffeomorphismlinear Poincaré flowscaled linear Poincaré flow

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamics induced by flows and semiflows (37C10)

Related Items (1)

Weak measure expansivity of \(C^2\) dynamics

Cites Work

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• A sufficient condition for zero entropy
• Connecting invariant manifolds and the solution of the \(C^ 1\) stability and \(\Omega\)-stability conjectures for flows
• A condition for zero entropy
• Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
• Morse-Smale systems and horseshoes for three dimensional singular flows
• Entropy of flows, revisited
• The Closing Lemma

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