| 拓扑序列复杂性和混合 |
| |
| 引用本文： | 杨润生.拓扑序列复杂性和混合[J].数学年刊A辑(中文版),2004(6). |
| |
| 作者姓名： | 杨润生 |
| |
| 作者单位： | 南京师范大学数学与计算机科学学院 南京 |
| |
| 基金项目： | 国家自然科学基金(No.10271057)
江苏省自然科学基金(No.BK2001108)资助的项目. |
| |
| 摘 要： | 本文给出动力系统的拓扑序列复杂函数和族F-扩散的概念,利用序列复杂函数给出一致刚性、等度连续性和F-混合的特征,并讨论了族F-混合与一致刚性、相关族扩散、混沌及序列等度连续点存在性的关系.
|
| 关 键 词： | 拓扑序列复杂性 F-扩散 一致刚性 F-混合 等度连续性 |
TOPOLOGICAL SEQUENCE COMPLEXITY AND MIXING |
| |
| YANG RunshengSchool of Mathematics and Computer Science,Nanjing Normal University,Nanjing ,China.TOPOLOGICAL SEQUENCE COMPLEXITY AND MIXING[J].Chinese Annals of Mathematics,2004(6). |
| |
| Authors: | YANG RunshengSchool of Mathematics and Computer Science Nanjing Normal University Nanjing China |
| |
| Institution: | YANG RunshengSchool of Mathematics and Computer Science,Nanjing Normal University,Nanjing 210097,China |
| |
| Abstract: | This article introduces the notions of topological sequence complexity and F-scattering with respect to a family F for a dynamical system. The author gives the characterization of uniformly rigid, equicontinuity and F-mixing by the sequence complexity function respectively and discusses the relations between F-mixing, uniformly rigid, F' -scattering with respect to some family F', chaos and the existence of sequence equicontinuous points. |
| |
| Keywords: | Topological sequence complexity F-scattering Uniformly rigid F-mixing Equicontinuous |
| 本文献已被 CNKI 等数据库收录！ |
