Title : ( On shadowing: Ordinary and ergodic )
Authors: A. Fakhari , Fateme Helen Ghane Ostadghassemi ,
Full TextAbstract
The aim of this paper is to introduce the notion of ergodic shadowing for a continuous onto map which is equivalent to the map being topologically mixing and has the ordinary shadowing property. In particular, we deduce the chaotic behavior of a map with ergodic shadowing property. Moreover, we define some kind of specification property and investigate its relation to the ergodic shadowing property
Keywords
, Ergodic shadowing Topological mixing Pseudo, orbital specification
@article{paperid:1014458,
author = {A. Fakhari and Ghane Ostadghassemi, Fateme Helen},
title = {On shadowing: Ordinary and ergodic},
journal = {Journal of Mathematical Analysis and Applications},
year = {2010},
volume = {364},
number = {1},
month = {February},
issn = {0022-247X},
pages = {151--155},
numpages = {4},
keywords = {Ergodic shadowing
Topological mixing
Pseudo-orbital specification},
}
%0 Journal Article
%T On shadowing: Ordinary and ergodic
%A A. Fakhari
%A Ghane Ostadghassemi, Fateme Helen
%J Journal of Mathematical Analysis and Applications
%@ 0022-247X
%D 2010
