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广义M-J集的界与J-集Hausdorff维数的估计
The Bounds of the General M and J Sets and the Estimations for the Hausdorff’s Dimension of the General J Set
【摘要】 解析地给出了广义M_J集的界 ,其中某些界在某种意义上是最佳的· 解决了应用逃逸时间等算法计算机构造其混沌分形图的首要问题 ,并在此基础上通过线性逼近的方法给出了某些情况下J_集Hausdorff维数的近似估计
【Abstract】 The bounds of the general M and J sets were analytically offered. Some of the bounds were optimal in certain meanin g. 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 e stimations of some special Julia set’s Hausdorff’s dimension by approximate line arization method.
【关键词】 广义Mandelbrot集;
广义Julia集;
Hausdorff维数;
【Key words】 general Mandelbrot set; general Julia set; Hausdorff’s dimension;
【Key words】 general Mandelbrot set; general Julia set; Hausdorff’s dimension;
【基金】 国家自然科学基金资助项目 (6 9974 0 0 80 );国家博士后基金资助项目
- 【文献出处】 应用数学和力学 ,Applied Mathematics and Mechanics , 编辑部邮箱 ,2001年11期
- 【分类号】O189.1
- 【被引频次】5
- 【下载频次】35