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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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| Authors: | LIU Xiang-dong YAN De-jun ZHU Wei-yong WANG Guang-xing |
| Abstract: | 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. |
| Keywords: | general Mandelbrot set general Julia set Hausdorff's dimension |