[1]高军杨,马庆文.涉及重整化变换的有理函数族的Fatou集[J].江西师范大学学报(自然科学版),2014,(04):395-398.
　GAO Jun-yang,MA Qing-wen.Fatou Sets of a Fanily of Rational MaPs Concerning Renornalization Transfornation[J].Journal of Jiangxi Normal University:Natural Science Edition,2014,(04):395-398.
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涉及重整化变换的有理函数族的Fatou集()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2014年04期
页码:
395-398
栏目:
出版日期:
2014-08-31

文章信息/Info

Title:
Fatou Sets of a Fanily of Rational MaPs Concerning Renornalization Transfornation
作者:
高军杨;马庆文
中国矿业大学 北京 理学院,北京,100083
Author(s):
GAO Jun-yang；MA Qing-wen
关键词:
John 区域; Fatou 分支; Julia 集; 尖点; 重整化变换
Keywords:
John domain; Fatou component; Julia set; cusp; renormlization transformation
分类号:
O174.5
文献标志码:
A
摘要:
主要研究了涉及重整化变换的一族有理函数 Tnλ Fatou 分支的拓扑性质。事实上，若 D 是有理函数Tnλ的任意1个 Fatou 分支，对任意的参数λ∈R 与 n >1，探讨了 D 与 John 区域的联系。所得结果给出了重整化变换的 Julia 集 J（Tnλ）拓扑复杂性的一个详细刻画。
Abstract:
The topological properties about the Fatou sets of a family of rational maps Tnλ concerning renormalization transformation are mainly studied. In fact,let D be any Fatou component of Tnλ the relations between the John do-main and D are investigated. Hence a perfect topological description of the Julia sets J(Tnλ)about the topological complexity is given.

参考文献/References:

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备注/Memo

备注/Memo:
国家自然科学基金(11371363，11261002)；中央高校基本科研业务费专项基金(2009QS15)
更新日期/Last Update: 1900-01-01