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: | Xiang-dong Liu De-jun Yan Wei-yong Zhu Guang-xing Wang |
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| Institution: | (1) Department of Mathematics & Physics, Anshan Institute of Iron and Steel Technology, 114001 Anshan, P R China;(2) School of Information Science and Engineering, Northeastern University, 110006 Shenyang, P R China |
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| 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.
Foundation item: the National Natural Science Foundation of China (69974008).
Biography: LIX Xiang-dong (1967-), Associate Professor, Doctor |
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| Keywords: | general Mandelbrot set general Julia set Hausdorff’ s dimension |
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