Better Hausdorff Dimension Estimations of Quadratic and Cubic Functions Julia Sets

More accurate Hausdorff dimension estimations of Julia sets for two simple functions are given by the methods of composition mapping and invariant set of contraction mapping.For quadratic function fc(z)=z2+c(c∈(C^)),the range of parameter c is expanded largely and a result on the Hausdorff dimension of its Julia set is gained. Similarly, a better result is obtained for cubic function fc(z)=z3+c(c∈(C^)).

作 者： FANG Li-ping ZHANG Chun-hong   作者單位： School of Science, Beijing Institute of Technology, Beijing 100081, China  刊 名： 北京理工大學(xué)學(xué)報(bào)(英文版)  EI 英文刊名： JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY  年，卷(期)： 2006 15(1)  分類(lèi)號(hào)： O189.3  關(guān)鍵詞： composition   contraction mapping   invariant set   Hausdorff dimension  

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