SRB measures of certain almost hyperbolic diffeomorphisms with a tangency

Eleonora Catsigeras; Heber Enrich

doi:10.3934/dcds.2001.7.177

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2001, Volume 7, Issue 1: 177-202. Doi: 10.3934/dcds.2001.7.177

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SRB measures of certain almost hyperbolic diffeomorphisms with a tangency

Eleonora Catsigeras^1, and
Heber Enrich^1,

1.
Instituto de Matemática, Universidad de la República

Received: November 30, 1999

Revised: September 30, 2000

Published: December 2000

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Abstract

We study topological and ergodic properties of some almost hyperbolic diffeomorphisms on two dimensional manifolds. Under generic conditions, diffeomorphisms obtained from Anosov by an isotopy pushing together the stable and unstable manifolds to be tangent at a fixed point, are conjugate to Anosov. For a finite codimension subset at the boundary of Anosov there exist a SRB measure and an unique ergodic attractor.

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Mathematics Subject Classification: 28D05, 37A05, 37B25, 37C40, 37D25.

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