| 由两个M bius变换生成的群产生的极限集的分形结构 |
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| 引用本文： | 陈祖明,管克英.由两个M bius变换生成的群产生的极限集的分形结构[J].数学的实践与认识,2000(2). |
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| 作者姓名： | 陈祖明 管克英 |
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| 作者单位： | 北京航空航天大学理学院!北京100083(陈祖明)，北方交通大学理学院!北京100084(管克英) |
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| 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 S1上的一段弧上所形成的极限集的分形结构
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| 关 键 词： | M bius变换 不变集 分形 |
The Fractal Construction of Limit Set Produced by a Transformation Group Generated by tow Mobius Transformations |
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| CHEN Zu\|ming\ ,\ GUAN Ke\|ying\.The Fractal Construction of Limit Set Produced by a Transformation Group Generated by tow Mobius Transformations[J].Mathematics in Practice and Theory,2000(2). |
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| Authors: | CHEN Zu\|ming\ \ GUAN Ke\|ying\ |
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| Institution: | CHEN Zu\|ming\ 1,\ GUAN Ke\|ying\ 2 |
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| Abstract: | 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. |
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| Keywords: | mobius transformation invariant set fractal |
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