Classification of Smale diffeomorphisms of surfaces: realisable geometric types

DOI10.5802/AIF.1914zbMath1115.37314OpenAlexW2298996855MaRDI QIDQ1613976

François Béguin

Publication date: 3 September 2002

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2002__52_4_1135_0

zbMATH Keywords

Markov partitionshyperbolic dynamicsSmale diffeomorphisms

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (2)

Rotation sets and almost periodic sequences ⋮ Classification of Morse–Smale systems and topological structure of the underlying manifolds

Cites Work

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• Nonsingular Smale flows on \(S^ 3\)
• A proof of the \(C^ 1\) stability conjecture
• Structural stability of \(C^1\) diffeomorphisms
• Construction of 3-dimensional Smale flows

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