| Local connectivity of Julia sets for a family of biquadratic polynomials |
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| 作者姓名： | Jing L~ |
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| 摘 要： | The local connectivity of Julia sets for the family of biquadratic polynomials f_c(z)= (z~2-2c~2)z~2 with a parameter c is discussed.It is proved that for any parameter c,the boundary of the immediately attracting domain of f_c is a Jordan curve.
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| 收稿时间： | 8 October 2006 |
| 修稿时间： | 21 May 2007 |
Local connectivity of Julia sets for a family of biquadratic polynomials |
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| Jing?Lü,Wei-yuan?Qiu.Local connectivity of Julia sets for a family of biquadratic polynomials[J].Science in China(Mathematics),2007,50(10):1477-1492. |
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| Authors: | Jing Lü Wei-yuan Qiu |
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| Institution: | 1. Department of Basic Education, Shanghai Maritime University, Shanghai 200000, China
2. Department of Mathematics, Fudan University, Shanghai 200433, China |
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| Abstract: | The local connectivity of Julia sets for the family of biquadratic polynomials f_c(z)= (z~2-2c~2)z~2 with a parameter c is discussed.It is proved that for any parameter c,the boundary of the immediately attracting domain of f_c is a Jordan curve. |
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| Keywords: | biquadratic polynomials Julia sets local connectivity |
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