一致空间上非自治系统的Banks定理  

Banks Theorem for Nonautonomous Dynamical Systems on Uniform Spaces

作　　者：文华艳[1] 唐定云 WEN Hua-yan;TANG Ding-yun(City College,Southwest University of Science and Technology,Mianyang 621000,China)

机构地区：[1]西南科技大学城市学院,四川绵阳621000

出　　处：《数学的实践与认识》2021年第1期246-250,共5页Mathematics in Practice and Theory

摘　　要：研究一致空间上非自治系统的敏感性,证明了定义在无限Hausdorff一致空间上有限生成的非自治系统满足拓扑传递性、周期点稠密以及存在两个不相交的不变周期点是初值敏感依赖的.从而推广了经典的Banks定理以及Li和Yang在2018年的一个结果.This paper studies the sensitivity for nonautonomous dynamical systems on uniform spaces and proves that a finitely generated nonautonomous dynamical system defined on an infinite Hausdorff uniform space,which is topologically transitive and has dense periodic points and two invariant periodic points having disjoint orbits,is sensitive,extending the classical Banks theorem and a result obtained by Li and Yang in 2018.

关 键 词：一致空间 DEVANEY混沌 初值敏感依赖性 Banks定理 

分 类 号：O19[理学—数学] O415.5[理学—基础数学]