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拓扑(双重)遍历的等价条件
引用本文:孟鑫,范钦杰.拓扑(双重)遍历的等价条件[J].松辽学刊,2007,28(4):65-66,68.
作者姓名:孟鑫  范钦杰
作者单位:吉林师范大学数学学院,吉林四平136000
摘    要:本文给出了动力系统f是拓扑遍历、拓扑双重遍历的等价条件,讨论了拓扑(双重)遍历与拓扑可迁、拓扑混合的关系,研究了拓扑遍历系统的混沌性态.

关 键 词:拓扑可迁  拓扑遍历  拓扑混合  混沌
文章编号:1000-1840-(2007)04-0065-02
收稿时间:2001-10-12
修稿时间:2007年10月12

Equivalent Conditions for Topological (Double) Ergodicity
MENG Xin,FAN Qin-jie.Equivalent Conditions for Topological (Double) Ergodicity[J].Songliao Journal (Natural Science Edition),2007,28(4):65-66,68.
Authors:MENG Xin  FAN Qin-jie
Institution:MENC Xin, FAN Qin - fie (College of Mathematics,Jilin Normal University,Siping 136000,China)
Abstract:The paper gives the equivalent conditions when a dynamical system is topological (double) ergodicity, and discusses the relationship between topological ergodicity and topological mixing as well as topological transitivity. At last this paper studies the chaos state of topologically ergodical system.
Keywords:topological transitivity  topological ergodicity  topologically mixing  chaos
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