TY - JOUR
ID - 34858
TI - On Periodic Shadowing Property
JO - Sahand Communications in Mathematical Analysis
JA - SCMA
LA - en
SN - 2322-5807
AU - Darabi, Ali
AD - Department of Mathematics, Faculty of Mathematical and Computer Sciences, Shahid Chamran University of Ahvaz, P.O. Box 61357-43135, Ahvaz, Iran.
Y1 - 2019
PY - 2019
VL - 14
IS - 1
SP - 63
EP - 72
KW - Periodic shadowing
KW - Shadowing
KW - Chain transitive
KW - Distal
DO - 10.22130/scma.2018.69088.270
N2 - 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.
UR - http://scma.maragheh.ac.ir/article_34858.html
L1 - http://scma.maragheh.ac.ir/article_34858_a4fd5aa56afc0bc5a20ffba49c31265a.pdf
ER -