TY - JOUR
A2 - Mirzazadeh, Mohammad
AU - Ji, Zhanjinag
PY - 2022
DA - 2022/12/22
TI - Dynamical Property of the Shift Map under Group Action
SP - 5969042
VL - 2022
AB - Firstly, we introduced the concept of G‐Lipschitz tracking property, G‐asymptotic average tracking property, and G‐periodic tracking property. Secondly, we studied their dynamical properties and topological structure and obtained the following conclusions: (1) let X,d be compact metric G‐space and the metric d be invariant to G. Then, σ has G¯‐asymptotic average tracking property; (2) let X,d be compact metric G‐space and the metric d be invariant to G. Then, σ has G¯‐Lipschitz tracking property; (3) let X,d be compact metric G‐space and the metric d be invariant to G. Then, σ has G¯‐periodic tracking property. The above results make up for the lack of theory of G‐Lipschitz tracking property, G‐asymptotic average tracking property, and G‐periodic tracking property in infinite product space under group action.
SN - 1687-9120
UR - https://doi.org/10.1155/2022/5969042
DO - 10.1155/2022/5969042
JF - Advances in Mathematical Physics
PB - Hindawi
KW -
ER -