二维自仿集不连通的一个充分条件  

A sufficient condition of self-affined sets on the plain being disconnected

作　　者：刘春苔[1] 

机构地区：[1]武汉工业学院数理科学系,湖北武汉430023

出　　处：《武汉工业学院学报》2010年第2期105-108,共4页Journal of Wuhan Polytechnic University

摘　　要：讨论由扩张矩阵和数字集所生成的二维自仿集的不连通性,利用辅助函数系统,得到其不连通的一个充分条件,同时给出相应算法.In this paper,the author has discussed the unconnectedness of self-affined sets on the plane which are generated by expanding matrices and digit sets.By using an assistant IFS,the author has got a sufficient condition on which the self-affined sets are disconnected and has given an arithmetic to judge that these sets are disconnected.

关 键 词：迭代函数系 扩张矩阵 不连通 

分 类 号：O174.2[理学—数学]