移位映射的渐近平均跟踪性和周期跟踪性的研究  

The Research of Asymptotic Average Shadowing Property and Periodic Shadowing Property of the Shift Map

作　　者：时伟 冀占江 SHI Wei;JI Zhan-jiang(Wuzhou Vocational College,Wuzhou 543002,China;School of Data Science and Software Engineering,Wuzhou University,Wuzhou 543002,China;Guangxi Colleges and Universities Key Laboratory of Image Processing and Intelligent Information System,Wuzhou University,Wuzhou 543002,China;Guangxi Colleges and Universities Key Laboratory of Professional Software Technology,Wuzhou University,Wuzhou 543002,China)

机构地区：[1]梧州职业学院,广西梧州543002 [2]梧州学院大数据与软件工程学院,广西梧州543002 [3]梧州学院广西高校图像处理与智能信息系统重点实验室,广西梧州543002 [4]梧州学院广西高校行业软件技术重点实验室,广西梧州543002

出　　处：《数学的实践与认识》2021年第12期219-222,共4页Mathematics in Practice and Theory

基　　金：广西自然科学基金(2020JJA110021);梧州学院校级重点项目(2020B007);梧州学院校级项目(2017B004)。

摘　　要：在无限乘积空间中研究了移位映射的动力学性质,证明了移位映射具有渐近平均跟踪性和周期跟踪性.In this paper,we study the dynamical property of the shift map in the infinite product space.we will prove that the shift map has the asymptotic average shadowing property and periodic shadowing property.

关 键 词：无限乘积空间 移位映射 渐近平均跟踪性 周期跟踪性 

分 类 号：O189.11[理学—数学]