Title : ( Asymptotic average shadowing property on nonuniformly expanding maps )
Authors: Ali Reza Zamani Bahabadi ,
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Abstract
In this paper, we investigate the relationships between asymptotic average shadowing property for nonuniformly expanding maps with some notions in dynamical systems. We prove that if nonuniformly expanding (NUE) map f has asymptotic average shadowing property (AASP), then f is transitive and weakly mixing. Finally as a remark we show that if the C^2 dieomorphism f is NUE and AASP then it has a unique SRB measure.
Keywords
, asymptotic Average shadowing property, -average-pseudo- orbit, transitivity, Nonuniformly expanding.
@article{paperid:1040922,
author = {Zamani Bahabadi, Ali Reza},
title = {Asymptotic average shadowing property on nonuniformly expanding maps},
journal = {New York Journal of Mathematics},
year = {2014},
volume = {20},
number = {1},
month = {April},
issn = {1076-9803},
pages = {431--439},
numpages = {8},
keywords = {asymptotic Average shadowing property; -average-pseudo-
orbit; transitivity; Nonuniformly expanding.},
}
%0 Journal Article
%T Asymptotic average shadowing property on nonuniformly expanding maps
%A Zamani Bahabadi, Ali Reza
%J New York Journal of Mathematics
%@ 1076-9803
%D 2014
