|
| 摘要: |
| 本文研究了NCP映射的Julia集为Jordan曲线的问题.利用网格和共形迭代函数系统的方法，获得了Julia集在那种情况下为Jordan曲线的一般结果，推广了有理函数的Julia集为Jordan曲线的复解析动力系统方面的结果. |
| 关键词: Julia集 网格 共形迭代函数系统 Jordan曲线 |
| DOI： |
| 分类号:O174.51 |
| 基金项目: |
|
| JULIA SETS AS JORDAN CURVES |
|
ZHUANG Wei
|
| Abstract: |
| In this paper, we consider the Julia sets of NCP maps as Jordan curves. By the way of net and conformal iterated function system, we obtain the general result of the Julia set in which case as the Jordan curves, which generalizes the results of the complex analytic dynamical systems of Julia sets of rational functions as Jordan curves. |
| Key words: Julia set net iterated function system Jordan curve |
