• Title of article

    Sufficient conditions for a partially hyperbolic attractor to be a homoclinic class

  • Author/Authors

    C.A. Morales، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2010
  • Pages
    16
  • From page
    2005
  • To page
    2020
  • Abstract
    We prove that a partially hyperbolic attractor with two-dimensional central direction Λ is a homoclinic class if it exhibits a hyperbolic periodic orbit O and a Lorenz-like singularity σ with Wu(σ)∩Ws(O)≠ such that Ws(σ) is dense in Λ.
  • Keywords
    Partially hyperbolic attractorHomoclinic classVector field
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Serial Year
    2010
  • Journal title
    JOURNAL OF DIFFERENTIAL EQUATIONS
  • Record number

    751843