关于牛顿映照的Jordan域

JORDAN DOMAIN IN NEWTONIAN MAPS

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摘要在一定的条件下,根的直接吸性域和非根的周期域由Jordan域构成.进一步,几类牛顿映照的每一个Fatou分支都是Jordan域. Under given conditions, the immediate basin of root and the non root periodic Fatou domai consist of Jordan domain. Furthermore, for certain classes of Newtonian maps, every Fatou component is Jordan domain.

作者刘刚

机构地区中国矿业大学(北京)理学院

出处《北京师范大学学报（自然科学版）》 CAS CSCD 北大核心 2012年第4期349-354,共6页 Journal of Beijing Normal University(Natural Science)

基金国家重点实验室自主研究项目(10B10) 中央高校基本科研业务费资助项目(2010YS02)

关键词牛顿映照根的直接吸性域 Jordan域局部连通几何有限 Newton map the immediate basin of root Jordan domain locally connected geometrically finite

分类号 O174.5 [理学—基础数学]

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共引文献7

1Jing L~(1+) Wei-yuan QIU~2 ~1 Department of Basic Education,Shanghai Maritime University,Shanghai 200000,China,~2 Department of Mathematics,Fudan University,Shanghai 200433,China.Local connectivity of Julia sets for a family of biquadratic polynomials[J].Science China Mathematics,2007,50(10):1477-1492.
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北京师范大学学报（自然科学版）

2012年第4期

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关于牛顿映照的Jordan域

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