摘要
首先讨论了f在混沌集S中存在渐近周期点的存在性问题,然后通过讨论得到:若S为f的混沌集,则f在S内至多只有一个渐近周期点.最后利用Li-Yorke定理得到在f具有3周期点的情况之下,f必存在不含渐近周期点的混沌集.
In this paper, it first discusses the existence off has the asymptotic periodic point in its chaotic set S . Second it proves that if f has the chaotic set S , then f has no more than one asymptotic periodic point in S . At last, By Li- Yorke＇s theory,the paper obtains that underf has 3 periodic point, then there is a chaotic set that f doesn＇t have anv asymptotic periodic point in it.
出处
《江西师范大学学报（自然科学版）》
CAS
北大核心
2006年第4期322-324,共3页
Journal of Jiangxi Normal University(Natural Science Edition)
基金
浙江省自然科学基金资助项目(M103069)
重庆市教委科学研究项目(05JWSK054)
关键词
混沌集
周期点
渐近周期点
chaotic set
periodic point
asymptotic periodic point
