Title of article :
C^1-Stable Ergodic Shadowable Invariant Sets and Hyperbolicity
Author/Authors :
Barzanouni، A. نويسنده Department of Mathematics,Ferdowsi University of Mashhad,Mashhad,Iran , , Honary، B. نويسنده Department of Mathematics,Ferdowsi University of Mashhad,Mashhad,Iran ,
Issue Information :
ماهنامه با شماره پیاپی سال 2012
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
Journal title :
General Mathematics Notes
