由两个M bius变换生成的群产生的极限集的分形结构  

The Fractal Construction of Limit Set Produced by a Transformation Group Generated by tow Mobius Transformations

作　　者：陈祖明[1] 管克英[2] 

机构地区：[1]北京航空航天大学理学院,北京100083 [2]北方交通大学理学院,北京100084

出　　处：《数学的实践与认识》2000年第2期188-197,共10页Mathematics in Practice and Theory

摘　　要：讨论了一种以两个 M bius变换为生成元的群作用在单位圆周In this paper we proved that the limit set produced by a transforation group have the fractal construction if it is generated by tow Mobiustransformations on complex plane C and the conditions (1—6) in definition 1 are satisfied.

关 键 词：极限集 灭比乌斯变换 非线性自治系统 分形 

分 类 号：O175[理学—数学]