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Dynamics of periodically random orbits

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【作者】 任福尧; 周吉; 邱维元;

【Author】 REN Fuyao ZHOU Ji and QIU Weiyuan(Department of Mathematics, Fudan University, Shanghai 200433, China)

【机构】 Department of Mathematics; Fudan University; Shanghai 200433; China; China;

【摘要】 <正> This paper discusses the dynamics of iteration of periodically random orbits formed by a collection of rational functions. Some important results, such as the density theorem, the eventual periodicity theorem and the classification theorem are obtained. The dynamics of iteration of non-periodically random orbits is also investigated and a few problems are posed.

【Abstract】 This paper discusses the dynamics of iteration of periodically random orbits formed by a collection of rational functions. Some important results, such as the density theorem, the eventual periodicity theorem and the classification theorem are obtained. The dynamics of iteration of non-periodically random orbits is also investigated and a few problems are posed.

【关键词】 Fatou sets; Julia sets; normal family.;
【Key words】 Fatou sets; Julia sets; normal family.;
【基金】 Project supported by the National Natural Science Foundation of China (Grant No. 19771023) and the Tianyuan Foundation of China.
  • 【文献出处】 Progress in Natural Science ,自然科学进展(英文版) , 编辑部邮箱 ,1999年04期
  • 【分类号】O19
  • 【下载频次】18
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