Dynamical properties of G-chain equivalent set in the metric G-space
JI Zhanjiang1,2， SU Guangwang3， LI Lianfen1,2
1.School of Information and Electronic Engineering， Wuzhou University， Wuzhou， Guangxi 543002， China； 2.Laboratory of Complex Systems Simulation and Intelligent Computing， Wuzhou University， Wuzhou， Guangxi 543002， China；3 Department of Mathematics and Statistics， Guangxi University of Finance and Economics， Nanning 530003， China
Abstract：According to the definition of chain equivalent set， the concept of G-chain equivalent set was given and some dynamical properties of chain equivalent set in metric space was extended to the metric G-space .We obtain the following results： 1) The G-chain equivalent set of the point x is a closed set. 2) The G-chain equivalent set of the point x is a strong invariant set of the homeomorphism and pseudo equivalent map. 3) The G-chain equivalent set of the point x for the pseudo equivalent map which is restricted in the G-chain equivalent set of the point x is equal to the G-chain equivalent set of the point x for the same pseudo equivalent map in the metric G-space.
冀占江,粟光旺,李连芬,. 度量G-空间中G-链等价集的动力学性质[J]. 华中师范大学学报(自然科学版), 2018, 52(4): 448-451.
JI Zhanjiang,SU Guangwang,LI Lianfen,. Dynamical properties of G-chain equivalent set in the metric G-space. journal1, 2018, 52(4): 448-451.
2018, Vol. 52 
