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f1×f2×…×fn及f^n的拓扑遍历性 被引量：3

Topologial Ergdoicity of f_1×f_2×…×f_n and f^n
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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.
作者 黎日松
机构地区 广东海洋大学理学院
出处 《南开大学学报（自然科学版）》 CAS CSCD 北大核心 2009年第1期28-33,共6页 Acta Scientiarum Naturalium Universitatis Nankaiensis
关键词 拓扑遍历 拓扑可迁 混沌 概率测度 逆极限系统 topologically ergodic topologically transitive chaos probability measure inverse limit system
分类号 O189.3 [理学—基础数学]
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参考文献6

二级参考文献22

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共引文献18

同被引文献16

  • 1汪火云,熊金城.拓扑遍历映射的一些性质[J].数学学报（中文版）,2004,47(5):859-866. 被引量：7
  • 2廖公夫,王立冬,张玉成.一类集值映射的传递性、混合性与混沌[J].中国科学（A辑）,2005,35(10):1155-1161. 被引量：13
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引证文献3

南开大学学报（自然科学版）
2009年 第1期

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