SRB measures of certain almost hyperbolic diffeomorphisms with a tangency | Zendy

Eleonora Catsigeras | Zendy; Heber Enrich | Zendy

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SRB measures of certain almost hyperbolic diffeomorphisms with a tangency

Author(s) -

Eleonora Catsigeras,

Heber Enrich

Publication year - 2001

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2001.7.177

Subject(s) - ergodic theory , mathematics , isotopy , diffeomorphism , pure mathematics , codimension , boundary (topology) , attractor , tangent , topological conjugacy , mathematical analysis , geometry

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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