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  

【Better Hausdorff Dimension Estimatio】相關(guān)文章：

局部緊Hausdorff空間上的Fuzzy測(cè)度04-26

10 tips for better writing05-04

had better表示最好05-04

Its better to take a guided tour有導(dǎo)游的旅行好05-04

無(wú)窮觀問(wèn)題的研究(Ⅱ)-從Hausdorff的直覺(jué)和Poincaré的名言到Brouwer劇場(chǎng)現(xiàn)象04-27