Local connectivity of Julia sets for a family of biquadratic polynomials

被引：0

作者：

Jing Lü

Wei-yuan Qiu

机构：

[1] Shanghai Maritime University,Department of Basic Education

[2] Fudan University,Department of Mathematics

来源：

Science in China Series A: Mathematics | 2007年 / 50卷

关键词：

biquadratic polynomials; Julia sets; local connectivity; 37F10;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

The local connectivity of Julia sets for the family of biquadratic polynomials fc(z) = (z2 − 2c2)z2 with a parameter c is discussed. It is proved that for any parameter c, the boundary of the immediately attracting domain of fc is a Jordan curve.

引用

页码：1477 / 1492

页数：15

共 14 条

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[8]

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[9]

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