| 每个点都是链回归点的树映射 |
| |
| 引用本文： | 孙太祥,刘新和,徐胜荣.每个点都是链回归点的树映射[J].系统科学与数学,2003,23(4):566-570. |
| |
| 作者姓名： | 孙太祥 刘新和 徐胜荣 |
| |
| 作者单位： | 汕头大学数学研究所,汕头,515063;广西大学数学研究所,南宁,530004 |
| |
| 基金项目： | 国家自然科学基金(10226014)，广西科学基金(桂科青0135027)资助课题，广西高校百名中青年学科带头人资助计划项目 |
| |
| 摘 要： | 设f是端点数为n的树T上的连续自映射且T上的每一点都是f的链回归点.本文证明了: (1)如果T的某个端点是f的不动点,那么,T上的每个点都是f的周期为r≤n-1的周期点,或存在自然数r ≤ n-1,使得fr含有湍流; (2)如果f的不动点都在T的内部,那么,T上的每个点都是f的周期为r≤n的周期点,或存在自然数r≤n,使得,fr含有湍流.
|
| 关 键 词： | 树映射 链回归点 湍流 |
| 修稿时间： | 2000年4月25日 |
TREE MAPS WITH EVERY POINT BEING CHAIN RECURRENT |
| |
| Tai Xiang SUN,Xin He LIU,Sheng Rong XU.TREE MAPS WITH EVERY POINT BEING CHAIN RECURRENT[J].Journal of Systems Science and Mathematical Sciences,2003,23(4):566-570. |
| |
| Authors: | Tai Xiang SUN Xin He LIU Sheng Rong XU |
| |
| Institution: | Institute of Mathematics, Shantou University, Shantou 515063,P.,R.China; Institute of Mathematics, Guangxi University, Nanning 530004,P.R.CHina |
| |
| Abstract: | Let f be a continuous self-map of a tree T with n end points and every point of T be a chain recurrent point of f. In this paper, we show that: (1) if some end point of T is a fixed point of f, then either every point of T is a periodic point of f with period r < n - 1 or fr has a turbulence for some natural number r < n - 1; (2) if every fixed point of f is a interior point of T, then either every point of T is a periodic point of f with period r < n or fr has a turbulence for some natural number r < n. |
| |
| Keywords: | Tree map chain recurrent point turbulence |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《系统科学与数学》浏览原始摘要信息 |
| 点击此处可从《系统科学与数学》下载免费的PDF全文 |
|
