@article { author = {Darabi, Ali}, title = {On Periodic Shadowing Property}, journal = {Sahand Communications in Mathematical Analysis}, volume = {14}, number = {1}, pages = {63-72}, year = {2019}, publisher = {University of Maragheh}, issn = {2322-5807}, eissn = {2423-3900}, doi = {10.22130/scma.2018.69088.270}, abstract = {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.}, keywords = {Periodic shadowing,Shadowing,Chain transitive,Distal}, url = {https://scma.maragheh.ac.ir/article_34858.html}, eprint = {https://scma.maragheh.ac.ir/article_34858_a4fd5aa56afc0bc5a20ffba49c31265a.pdf} }