非自治离散动力系统中链传递和链混合  

Chain transitive and chain mixing in nonautonomous discrete dynamical systems

作　　者：刘青 易鹏 LIU Qing;YI Peng(School of Mathematics and Information Sciences,Guangzhou University,Guangzhou 510006,China)

机构地区：[1]广州大学数学与信息科学学院,广东广州510006

出　　处：《广州大学学报（自然科学版）》2018年第6期16-20,共5页Journal of Guangzhou University:Natural Science Edition

摘　　要：研究非自治离散动力系统(X,F)中的链传递性质和拓扑传递性质,证明如果F是链混合的,则对任意的正整数k,F^k是链混合的;如果存在一个正整数k,使得F^k是传递的,则F也是链传递的,并且指出非自治离散动力系统中的拓扑传递和链混合具有拓扑一致共轭不变性.In this paper,we discuss chain transitive property and topological transitive property in nonautonomous discrete dynamical system(X,F).Meanwhile,we prove that:if F is chain mixing,then F^k is also chain mixing for any positive integer k;If there is a positive integer k,F^k is chain transitive,then F also chain transitive.It should also be noted that topological transitive and chain mixing in non-autonomous discrete dynamical system have uniform conjugate invariance.

关 键 词：链传递 拓扑传递 伪轨跟踪性质 随时间变化的映射族 

分 类 号：O189.11[理学—数学]