∑上的非弱几乎周期的回复点集和SS混沌集

数学物理学报

∑上的非弱几乎周期的回复点集和SS混沌集

王立冬;楚振艳;廖公夫

大连民族学院非线性信息研究所大连 116600

收稿日期:2004-05-08 修回日期:2006-03-10 出版日期:2006-10-25 发布日期:2006-10-25
通讯作者: 王立冬
基金资助:
辽宁省教育厅重大基础研究基金(2004z061)和国家自然科学基金(19971035)资助

The Set of Non-weakly Almost Periodic Recurrent Points on

Wang Lidong;Chu Zhenyan;Liao Gongfu

The Research Institute of Nonlinear Information Technology, Dalian Nationalities University, Dalian 116600

Received:2004-05-08 Revised:2006-03-10 Online:2006-10-25 Published:2006-10-25
Contact: Wang Lidong

摘要/Abstract

摘要： 该文对单边符号空间上的转移自映射进行了讨论,证明了在非弱几乎周期的回复点集上存在不可数的SS混沌集.

关键词: 回复点, 弱几乎周期点, SS混沌集

Abstract: In this paper, the authors discuss the shift of the one-sided symbolic space and prove that there exists an uncountable SS chaotic set, in which each point is recurrent, but is not weakly almost periodic.

Key words: Recurrent points, Weakly almost periodic points, SS chaotic set

中图分类号:

54H20

王立冬;楚振艳;廖公夫. ∑上的非弱几乎周期的回复点集和SS混沌集[J]. 数学物理学报, 2006, 26(5): 778-784.

Wang Lidong;Chu Zhenyan;Liao Gongfu. The Set of Non-weakly Almost Periodic Recurrent Points on[J]. Acta mathematica scientia,Series A, 2006, 26(5): 778-784.