THE BOUNDS OF THE GENERAL M AND J SETS AND THE ESTIMATIONS FOR THE HAUSDORFF'S DIMENSION OF THE GENERAL J SET

刘向东; 焉德军; 朱伟勇; 王光兴

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THE BOUNDS OF THE GENERAL M AND J SETS AND THE ESTIMATIONS FOR THE HAUSDORFF'S DIMENSION OF THE GENERAL J SET

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The bounds of the general M and J sets were analytically offered. Some of the bounds were optimal in certain meaning. It not only solved the primary problem of the construction of fractal sets by escape time algorithm, and followed from the conclusion, but also offered two estimations of some special Julia set’s Hausdorff’s dimension by approximate linearization method.

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《应用数学和力学：英文版》 |2001年第11期|1318-1324|共7页
作者
刘向东; 焉德军; 朱伟勇; 王光兴;
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作者单位

Department of Mathematics & Physics;

Anshan Institute of Iron and Steel Technology;

Anshan 114001;

P R China;

School of Information Science and Engineering;

Northeastern University;

Shenyang 110006;

P R China;

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原文格式 PDF
正文语种 chi
中图分类期望与预测;
关键词
general; Mandelbrot; set; general; Julia; set; Hausdorff's; dimension;

机译：一般的Mandelbrot集;一般的Julia集;Hausdorff维数;

THE BOUNDS OF THE GENERAL M AND J SETS AND THE ESTIMATIONS FOR THE HAUSDORFF'S DIMENSION OF THE GENERAL J SET

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