Title : ( Asymptotic Average Shadowing Property For Flows )
Authors: Ali Reza Zamani Bahabadi ,
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Abstract
In this paper we show that if X is a compact metric space and varphi : mathbb{R} times X to X is a flow and varphi is weak uniformly almost periodic with positively asymptotic average shadowing property, then varphi is strongly ergodic. As well as corollary we show that if varphi : mathbb{R} times X to X is a Lyapunov stable flow with the asymptotic average shadowing property then varphi is not distal.
Keywords
, Asymptotic average shadowing property delta -average-pseudo-orbit, Lyapunov stable, strongly ergodic
@article{paperid:1028452,
author = {Zamani Bahabadi, Ali Reza},
title = {Asymptotic Average Shadowing Property For Flows},
journal = {Journal of Dynamical Systems and Geometric Theories},
year = {2012},
volume = {10},
number = {2},
month = {June},
issn = {1726-037X},
pages = {115--123},
numpages = {8},
keywords = {Asymptotic average shadowing property
delta -average-pseudo-orbit; Lyapunov stable; strongly ergodic},
}
%0 Journal Article
%T Asymptotic Average Shadowing Property For Flows
%A Zamani Bahabadi, Ali Reza
%J Journal of Dynamical Systems and Geometric Theories
%@ 1726-037X
%D 2012
