拓扑动力系统与广义符号动力系统拓扑共轭的一个充要条件  

A Necessary and Sufficient Condition for Topological Dynamical System to Be Topologically Conjugate with Generalized Symbolic Dynamical System

作　　者：李文波[1] 

机构地区：[1]惠州学院数学系,广东惠州516007

出　　处：《惠州学院学报》2007年第6期40-43,共4页Journal of Huizhou University

基　　金：惠州学院自然科学基金(C_207.0401)

摘　　要：本文证明了,拓扑动力系统与广义符号动力系统拓扑共轭的一个充分必要条件。在拓扑等价的意义下,找到了一个拓扑动力系统与广义符号动力系统拓扑等价的条件,即在满足一定条件下就可以用广义符号动力系统的拓扑性状来描述较为复杂的拓扑动力系统的动力性状。The paper presents a necessary and sufficient condition for topological dynamical system to be topologically conjugate with a generalized symbolic dynamical system.That is to find a necessary and sufficient condition of topological equivalence about topological- ly dynamical system and generalized symbolic dynamical system.That means the properties of topologically dynamical system can be described by the properties of generalized symbolic dynamical system.

关 键 词：拓扑共轭 嵌入 广义符号动力系统 广义转移自映射 

分 类 号：O189.11[理学—数学]