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
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
Journal title
General Mathematics Notes
Record number
2401814
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