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2007, Volume 17, Issue 1: 213-221. Doi: 10.3934/dcds.2007.17.213
This issue Previous Article Nodal solutions for Laplace equations with critical Sobolev and Hardy exponents on $R^N$ Next Article Erratum

Persistence of Bowen-Ruelle-Sinai measures

  • 1.

    Centro de Matemática da Universidade do Porto, Faculdade de Ciências, Rua do Campo Alegre, 687, 4169-007 Porto

Received:  December 31, 2004
Revised:  July 31, 2006
Published:  December 2006
Abstract Related Papers Cited by
    Abstract
  • We study the changes on the Bowen-Ruelle-Sinai measures along an arc that starts at an Anosov diffeomorphism on a two-torus and reaches the boundary of its stability component while a flat homoclinic tangency or a first cubic heteroclinic tangency is happening. The outermost diffeomorphisms of such arcs are not hyperbolic but are conjugate to the original Anosov diffeomorphism and share similar ergodic traits. In particular, the torus is a global attractor with a full supported physical measure.
    Mathematics Subject Classification: 37A35, 37C40, 37D25.

    Citation:
    shu

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