Smale diffeomorphisms of surfaces: a classification algorithm

DOI10.3934/DCDS.2004.11.261zbMath1069.37037OpenAlexW2001884548MaRDI QIDQ1884222

François Béguin

Publication date: 27 October 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.11.261

zbMATH Keywords

invariant setsconjugacystructural stabilityCantor setattractorperiodic orbitrepellerhyperbolic setsbasic setsorientation-preserving diffeomorphisms of oriented surfaces

Mathematics Subject Classification ID

Topological and differentiable equivalence, conjugacy, moduli, classification of dynamical systems (37C15) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Generic properties, structural stability of dynamical systems (37C20) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)

Related Items (3)

On the structure of rotation sets in hyperbolic surfaces ⋮ Classification of Morse–Smale systems and topological structure of the underlying manifolds ⋮ Morse-Smale systems and topological structure of carrier manifolds

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