| 摘要: |
| 在区间自映射的基础上研究二维空间的三角形映射,讨论三角形映射周期轨道,得到逐点回归三角形映射的重要特征R(F)=Fix(F4),并在二维空间中引入超旋转对的概念,利用其性质刻画出三角形映射周期轨型的结构. |
| 关键词: 三角形映射 返回轨道 超旋转对 |
| DOI： |
| 投稿时间：2006-02-17修订日期：2007-01-05 |
| 基金项目:国家自然科学基金(No.10361001,No.10461001)资助项目 |
|
| Characteristics of Periodic Orbits of Triangular Maps |
|
ZHANG Xiao-yan1, SUN Tai-xiang2
|
| (1.College of Mathematics and Information Science, Guangdong Ocean University, Zhanjiang, Guangdong, 524088, China;2.College of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, 530004, China) |
| Abstract: |
| In this paper, triangular maps of the second dimension space are considered.We extend characteristics of self-maps of the interval to triangular maps. Mainly we study periodic orbits of triangular maps.The characteristics of point-wise recurvent triangular maps are obtained.We have proved that R (F)=Fix (F4).Especially, we gave the periodic structure of triangular maps by adopting the concept of over-rotation pairs. |
| Key words: triangular map return trajectory over-rotation pair |
