群作用下逆极限空间的G-平均跟踪性和G-链传递  

G-average shadowing property and G-chain transitivity in inverse limit space under group action

作　　者：冀占江 陈占和[3] 刘海林 JI Zhanjiang;CHEN Zhanhe;LIU Hailin(Guangxi Key Laboratory of Machine Vision and Intelligent Control,Wuzhou University,Wuzhou 543002,China;Applied Mathematics Research Team of the Research Academy of Science,Wuzhou University,Wuzhou 543002,China;School of Mathematics and Information Science,Guangxi University,Nanning 530004,China;School of Science,Jiangxi University of Science and Technology,Ganzhou 341000,China)

机构地区：[1]梧州学院广西机器视觉与智能控制重点实验室,广西梧州543002 [2]梧州学院科学研究院应用数学研究团队,广西梧州543002 [3]广西大学数学与信息科学学院,广西南宁530004 [4]江西理工大学理学院,江西赣州341000

出　　处：《广西大学学报（自然科学版）》2024年第1期198-203,共6页Journal of Guangxi University（Natural Science Edition）

基　　金：国家自然科学基金项目(12126415);广西自然科学基金项目(2020JJA110021);梧州学院校级重点项目(2020B007)。

摘　　要：为了研究群作用下逆极限空间的G-平均跟踪性和G-链传递的动力学性质,利用原空间和逆极限空间之间的关系,得到以下结果:自映射f具有G-平均跟踪性与移位映射σ具有G-平均跟踪性是等价条件;自映射f是G-链传递与移位映射σ是G-链传递是等价条件。In order to study the dynamical properties of of G-average shadowing property and G-chain transitivity in inverse limit space under group action,the following results are obtained by using the relationship between the original space and the inverse limit space.It is equivalent condition that the self-map f has G-average shadowing property and the shift mapσhas G-average shadowing property.It is equivalent condition that the self-map f is G-chain transitivity and the shift mapσis G-chain transitivity.

关 键 词：群作用 逆极限空间 G-平均跟踪性 G-链传递 

分 类 号：O189.11[理学—数学]