几乎周期点稠密的混沌性态  

Chaotic behaviors of dense of almost periodic points

作　　者：李楠[1] 

机构地区：[1]吉林师范大学数学学院,吉林四平136000

出　　处：《长春大学学报》2011年第2期59-60,63,共3页Journal of Changchun University

摘　　要：在2002年廖公夫、王立冬[1]通过引入正则移位不变集,探讨了几乎周期性与SS混沌集的关系,而本文则是在几乎周期点稠密的基础上,证明了几乎周期点稠密集中存在Li-Yorke混沌,说明了此时f是传递的,而且是极小映射。而混合的几乎周期点稠密集全是Li-Yorke混沌的。In 2002, Liao Gong-fu and Wang Li-dong introduced a regular shift invariant set to talk about the relation between almost periodicity and SS chaotic set. While this thesis is based on dense of almost periodic point sets to prove that dense of almost periodic point sets exists in Li-Yorke chaotic, and under which f is transitive and a minimal map. All mixture of dense of almost periodic point sets are Li-Yorke chaotic.

关 键 词：几乎周期点 传递 稠密 Ω-极限集 

分 类 号：O189.1[理学—数学]