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 作者单位： School of Science, Beijing Institute of Technology, Beijing 100081, China 刊 名： 北京理工大学学报(英文版) EI 英文刊名： JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY 年，卷(期)： 2006 15(1) 分类号： O189.3 关键词： composition contraction mapping invariant set Hausdorff dimension