| 关于混沌集与渐近周期点的一个注记 |
| |
| 引用本文： | 林银河. 关于混沌集与渐近周期点的一个注记[J]. 江西师范大学学报(自然科学版), 2006, 30(4): 322-324 |
| |
| 作者姓名： | 林银河 |
| |
| 作者单位： | 丽水学院,数理学院,浙江,丽水,323000;重庆师范大学,数学与计算机科学学院,重庆,400047 |
| |
| 基金项目： | 浙江省自然科学基金;重庆市教委资助项目 |
| |
| 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.
|
| 关 键 词： | 混沌集 周期点 渐近周期点 |
| 文章编号： | 1000-5862（2006）04-0322-03 |
| 收稿时间： | 2006-02-20 |
| 修稿时间： | 2006-02-20 |
A Note about the Chaotic Set and the Asymptotic Periodic Point |
| |
| LIN Yin-he. A Note about the Chaotic Set and the Asymptotic Periodic Point[J]. Journal of Jiangxi Normal University (Natural Sciences Edition), 2006, 30(4): 322-324 |
| |
| Authors: | LIN Yin-he |
| |
| Affiliation: | 1. College of Mathematics and Physics, Lishui University, Lishui Zhejiang 323000; 2. College of Mathematics and Computer Science, Chongqing Normal University, Chongqing 400047 ,China |
| |
| Abstract: | In this paper,it first discusses the existence of f 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 under f has 3 periodic point,then there is a chaotic set that f doesn't have any asymptotic periodic point in it. |
| |
| Keywords: | chaotic set periodic point asymptotic periodic point |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
|
