Title : ( Orbital shadowing and weak shadowing points )
Authors: Ali Reza Zamani Bahabadi ,
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Abstract
In this paper we show that if a continuous map f : X −→ X on a com-pact metric space X is transitive, then orbital shadowing points are residual in X. Moreover we show that for a homeomorphism, if weak shadowing points are residual, then orbital shadowing points are residual. Finally, we consider C1-interior SD conservative diffeomorphisms and we will show that they have a dominated splitting.
Keywords
shadowing property; Orbital shadowing point; Weak stable point; dominated splitting
@article{paperid:1030390,
author = {Zamani Bahabadi, Ali Reza},
title = {Orbital shadowing and weak shadowing points},
journal = {Journal of Advanced Research in Dynamical and Control Systems},
year = {2013},
volume = {5},
number = {1},
month = {January},
issn = {1943-023x},
pages = {18--25},
numpages = {7},
keywords = {shadowing property; Orbital shadowing point; Weak stable point; dominated splitting},
}
%0 Journal Article
%T Orbital shadowing and weak shadowing points
%A Zamani Bahabadi, Ali Reza
%J Journal of Advanced Research in Dynamical and Control Systems
%@ 1943-023x
%D 2013
