R^n上一类双Lipschitz IFS吸引子的一致完全性  

Uniformly perfectness of attractor on a class of bi-Lipschitz IFS in R^n

作　　者：邓义华[1] 

机构地区：[1]衡阳师范学院数学系,湖南衡阳421008

出　　处：《安徽大学学报（自然科学版）》2008年第4期5-7,共3页Journal of Anhui University(Natural Science Edition)

基　　金：湖南省自然科学基金资助项目(06JJ5001)

摘　　要：在计算机图形学中往往可以通过迭代函数系统得到大量美丽的图形,迭代函数系统在形成分形图形的过程中,吸引子起了重要的作用.作者讨论了Rn上一类双L ipsch itz迭代函数系统的吸引子的结构,得到了该迭代函数系统的吸引子是一致完全集的结论.Many elegancy pictures may be usually obtained by using of iterated function system in computer graphics. The attractor is very important in the formation of fractal pictures by iterated function system. The structure of the attractor for a class of bi-Lipschitz iterated function system in Rn was discussed and the conclusion that the IFS＇ s attractor was a uniformly perfect set was got in this paper.

关 键 词：吸引子 一致完全性 迭代函数系 双Lipschitz映射 

分 类 号：O174[理学—数学]