拓扑遍历混合性与混沌  

Topological Ergodic Mixing and Chaos

作　　者：曹毅[1] 顾效华[1] 

机构地区：[1]江苏理工学院数理学院,江苏常州213001

出　　处：《海南师范大学学报（自然科学版）》2013年第1期6-8,共3页Journal of Hainan Normal University（Natural Science）

基　　金：国家自然科学基金项目(11102076);江苏理工学院青年基金项目(KYY12023)

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.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.

关 键 词：全可迁 (拟)弱几乎周期点 拓扑遍历混合 

分 类 号：O189.3[理学—数学]