机构地区: 广东海洋大学理学院数学与信息科学系
出 处: 《广西科学》 2007年第2期91-94,共4页
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. 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.