• Title of article

    C^1-Stable Ergodic Shadowable Invariant Sets and Hyperbolicity

  • Author/Authors

    Barzanouni ، A. - Ferdowsi University of Mashhad , Honary ، B. - Ferdowsi University of Mashhad

  • Pages
    6
  • From page
    1
  • To page
    6
  • Abstract
    Let f be a diffeomorphism of a closed C∞ manifold. We define the notion of C^1stable ergodic shadowing property for a closed f- invariant set Λ and prove that Λ has C^1-stable ergodic shadowing property if and only if it is a hyperbolic elementary set.
  • Keywords
    C^1 , stable ergodic shadowable , basic set , uniformly hyperbolic
  • Journal title
    General Mathematics Notes
  • Serial Year
    2012
  • Journal title
    General Mathematics Notes
  • Record number

    2457479

    • Link To Document
    https://search.isc.ac/dl/search/defaultta.aspx?DTC=10&DC=2457479