%0 Journal Article
%T On Periodic Shadowing Property
%J Sahand Communications in Mathematical Analysis
%I University of Maragheh
%Z 2322-5807
%A Darabi, Ali
%D 2019
%\ 04/01/2019
%V 14
%N 1
%P 63-72
%! On Periodic Shadowing Property
%K Periodic shadowing
%K Shadowing
%K Chain transitive
%K Distal
%R 10.22130/scma.2018.69088.270
%X In this paper, some properties of the periodic shadowing are presented. It is shown that a homeomorphism has the periodic shadowing property if and only if so does every lift of it to the universal covering space. Also, it is proved that continuous mappings on a compact metric space with the periodic shadowing and the average shadowing property also have the shadowing property and then are chaotic in the sense of Li-Yorke. Moreover, any distal homeomorphisms on a compact metric space with the periodic shadowing property do not have the asymptotic average shadowing property.
%U http://scma.maragheh.ac.ir/article_34858_a4fd5aa56afc0bc5a20ffba49c31265a.pdf