f1×f2×…×fn及f^n的拓扑遍历性  

Topologial Ergdoicity of f_1×f_2×…×f_n and f^n

作　　者：黎日松[1] 

机构地区：[1]广东海洋大学理学院,广东湛江524025

出　　处：《南开大学学报（自然科学版）》2009年第1期28-33,共6页Acta Scientiarum Naturalium Universitatis Nankaiensis

摘　　要：讨论了f_1×f_2×…×f_n及f^n的拓扑遍历性,证明了扑拓全遍历,n-拓扑遍历与拓扑遍历是等价的.给出了这个结果在动力系统中的一些应用.得到了f_1×f_2×…×f_n及f^n是拓扑遍历的一些充要条件和充分条件,同时还研究了f°g的拓扑遍历性,得到扑拓遍历性质是拓扑共轭不变性.Topological ergodicity of f1×f2×…×fn and f^n is discussed. It＇s shown that topological double ergodicity, topological complete ergodicity and topological ergodicity is equivalent. Some of the result＇s applications in dynamic system is given. And some necessary and sufficient conditions and sufficient conditions of f1×f2×…×fn which is topologically ergodic are given. Topological ergodicity of f ° g is also studied. Topological ergodicity is invariant under topological conjugation is obtained.

关 键 词：拓扑遍历 拓扑可迁 混沌 概率测度 逆极限系统 

分 类 号：O189.3[理学—数学]