Lipschitz perturbations of expansive systems

Alfonso Artigue

doi:10.3934/dcds.2015.35.1829

Article Contents

2015, Volume 35, Issue 5: 1829-1841. Doi: 10.3934/dcds.2015.35.1829

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Lipschitz perturbations of expansive systems

Alfonso Artigue^1,

1.
Departamento de Matemática y Estadística del Litoral, Universidad de la República, Gral. Rivera 1350, Salto

Received: May 2014

Revised: September 2014

Published online: December 2014

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Abstract

We extend some known results from smooth dynamical systems to the category of Lipschitz homeomorphisms of compact metric spaces. We consider dynamical properties as robust expansiveness and structural stability allowing Lipschitz perturbations with respect to a hyperbolic metric. We also study the relationship between Lipschitz topologies and the $C^1$ topology on smooth manifolds.

Keywords:

Mathematics Subject Classification: Primary: 37B05; Secondary: 37C20, 37E30.

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