Title : ( Controlled shadowing property )
Authors: Ali Reza Zamani Bahabadi ,
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Abstract
In this paper we introduce a new notion, named controlled shadowing property and we relate it to some notions in dynamical systems such as topological ergodicity, topologically mixing and specification proper- ties. The relation between the controlled shadowing and chaos in sense of Li-Yorke is studied. At the end we give some examples to investigate the controlled shadowing property.
Keywords
, controlled shadowing property, chaos, topologically ergodic, specification property, topologically mixing.
@article{paperid:1067922,
author = {Zamani Bahabadi, Ali Reza},
title = {Controlled shadowing property},
journal = {Applied General Topology},
year = {2018},
volume = {19},
number = {1},
month = {April},
issn = {1989-4147},
pages = {91--99},
numpages = {8},
keywords = {controlled shadowing property; chaos; topologically ergodic; specification property; topologically mixing.},
}
%0 Journal Article
%T Controlled shadowing property
%A Zamani Bahabadi, Ali Reza
%J Applied General Topology
%@ 1989-4147
%D 2018
