Dynamical models for some torus homeomorphisms

2013/02/27 by Pablo Dávalos, Dávalos, Pablo
Mathematics · #Advanced Differential Equations and Dynamical Systems #Dynamical Systems (math.DS) #FOS: Mathematics #Geometric and Algebraic Topology #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.1302.6954

openalex publication_date 2013/02/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is well known that the rotation number of a circle homeomorphism defined by H. Poincaré allows to completely understand the dynamics of such a map from the topological point of view. In this paper, we collect some results concerning the existence of topological dynamical models associated to rotation sets of homeomorphisms of \T².

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