双重逆极限空间中极限跟踪性与弱Specification性的研究  

Research on limit shadowing property and weak specification property in the double inverse limit space

作　　者：冀占江 张更容 JI Zhanjiang;ZHANG Gengrong(School of Data Science and Software Engineering,Guangxi Colleges and Universities Key Laboratory of Image Processing and Intelligent Information System,Wuzhou University,Wuzhou 543002,China;Mathematics and Computational Science,Hunan First Normal University,Changsha 410205,China)

机构地区：[1]梧州学院大数据与软件工程学院,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 [2]湖南第一师范学院数学与计算科学学院,湖南长沙410205

出　　处：《安徽大学学报（自然科学版）》2022年第5期7-12,共6页Journal of Anhui University(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11461002);湖南省自然科学基金资助项目(2018JJ2074);广西自然科学基金资助项目(2020JJA110021);梧州学院校级重点项目(2020B007);梧州学院校级项目(2017B004)。

摘　　要：根据逆极限空间中极限跟踪性和弱Specification性的定义,引入双重逆极限空间中极限跟踪性和弱Specification性的概念,并研究了它们的动力学性质,得到一些新的结果:自映射f g具有极限跟踪性当且仅当移位映射σfσg具有极限跟踪性、自映射f g具有弱Specification性当且仅当移位映射σfσg具有弱Specification性,从而推广和改进了逆极限空间中的相应结果.According to the definition of limit shadowing property and weak specification property in the inverse limit space,it was introduced that the concept of limit shadowing property and weak specification property in the double inverse limit space and their dynamical properties were studied.The following new results were obtained:the self-mapping f g had limit shadowing property if and only if the shift mapσfσg had limit shadowing property;the self-mapping f g had weak specification property if and only if the shift mapσfσg had weak specification property.The corresponding results of the inverse limit space were generalized and improved.

关 键 词：双重逆极限空间 移位映射 极限跟踪性 弱Specification性 

分 类 号：O189.11[理学—数学]