Title : ( On The Average Shadowing Properties and Hyperbolicity )
Authors: Ali Reza Zamani Bahabadi ,
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Abstract
In this paper we show that there is a residual set R such that if f in R is tame and has the average shadowing property, then f is Anosov or there is a non-hyperbolic ergodic measure with support on the whole of the manifold M.
Keywords
, Average shadowing property -average-pseudo-orbit, Dominated split- ting, non hyperbolic ergodic measure.
@article{paperid:1034519,
author = {Zamani Bahabadi, Ali Reza},
title = {On The Average Shadowing Properties and Hyperbolicity},
journal = {New Zealand Journal of Mathematics},
year = {2012},
volume = {42},
number = {1},
month = {December},
issn = {1179-4984},
pages = {199--204},
numpages = {5},
keywords = {Average shadowing property -average-pseudo-orbit; Dominated split-
ting; non hyperbolic ergodic measure.},
}
%0 Journal Article
%T On The Average Shadowing Properties and Hyperbolicity
%A Zamani Bahabadi, Ali Reza
%J New Zealand Journal of Mathematics
%@ 1179-4984
%D 2012
