Robustly N-expansive surface diffeomorphisms

Alfonso Artigue

doi:10.3934/dcds.2016.36.2367

Article Contents

2016, Volume 36, Issue 5: 2367-2376. Doi: 10.3934/dcds.2016.36.2367

This issue Previous Article Next Article A volume-based approach to the multiplicative ergodic theorem on Banach spaces

Robustly N-expansive surface diffeomorphisms

Alfonso Artigue^1,

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

Received: March 31, 2015

Revised: April 30, 2015

Published: May 2017

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Abstract

We give sufficient conditions for a diffeomorphism of a compact surface to be robustly $N$-expansive and cw-expansive in the $C^r$-topology. We give examples on the genus two surface showing that they need not to be Anosov diffeomorphisms. The examples are axiom A diffeomorphisms with tangencies at wandering points.

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Mathematics Subject Classification: 37C05, 37E30.

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