A sufficient condition for zero entropy

DOI10.1007/s00605-014-0608-4zbMath1351.37064OpenAlexW2091776795MaRDI QIDQ471126

Alexander Arbieto, Carlos A. Morales

Publication date: 14 November 2014

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-014-0608-4

zbMATH Keywords

periodic pointtopological entropyMorse-Smale

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Topological entropy (37B40) Partially hyperbolic systems and dominated splittings (37D30) Morse-Smale systems (37D15)

Related Items (1)

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

Cites Work

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• Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
• Homoclinic tangencies and hyperbolicity for surface diffeomorphisms
• An ergodic closing lemma
• Horseshoe and entropy for C1 surface diffeomorphisms
• Homoclinic tangencies and dominated splittings
• Necessary Conditions for Stability of Diffeomorphisms

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