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拓扑遍历混合性与混沌
引用本文:曹毅,顾效华.拓扑遍历混合性与混沌[J].海南师范大学学报(自然科学版),2013,26(1):6-8.
作者姓名:曹毅  顾效华
作者单位:江苏理工学院数理学院,江苏常州,213001
基金项目:国家自然科学基金项目,江苏理工学院青年基金项目
摘    要:令X为紧致度量空间,f:X→X为连续映射,若f×f拓扑强遍历,则称f拓扑遍历混合.文章着重研究拓扑遍历混合映射的性质,并证明了正规极小点稠密的全可迁系统是拓扑遍历混合的.

关 键 词:全可迁  (拟)弱几乎周期点  拓扑遍历混合

Topological Ergodic Mixing and Chaos
CAO Yi , GU Xiaohua.Topological Ergodic Mixing and Chaos[J].Journal of Hainan Normal University:Natural Science,2013,26(1):6-8.
Authors:CAO Yi  GU Xiaohua
Institution:(School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, China )
Abstract:Let X be a compact metric space and f: X-→X a continuous onto maps f is called topological ergodic mixing if f×f is topological strong ergodic. This paper mainly studies the properties of the maps of topological ergodic mixing. Also a totally topological transitive system is topological strong ergodic if the regular minimal points are dense in it.
Keywords:totally transitive  quasi-weakly almost periodic points  topological strong ergodic
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