On the Local Connected and Jordanian Julia Sets |
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| Authors: | WANG Xiao-ling XU Guang-wei WU Jia-feng |
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| Institution: | 1. Department of Applied Mathematics,Nanjing Uniwersity of Finance and Economics,Nanjing 210046,China
2. School of Computer,Science and Technology,Dongh ua University,Shanghai 201620,China |
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| Abstract: | In this article,we investigate the dynamical properties of fλ(z)=λzke2,for λ(≠0)∈C and k≥2.We will show that the boundaries of softie(0r all)Fatou components are Jordan curves and the Julia sets are Sierpinski carpet,and they are locally connoted for sonle certain λ. |
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| Keywords: | Julia set Sierpinski carpet locally connected Hausdor ff metric |
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