| Precision and Velocity of Simulating Mandelbrot Set |
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| 引用本文： | 盛昭瀚,赵林度,刘世军.Precision and Velocity of Simulating Mandelbrot Set[J].东南大学学报,1996(2). |
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| 作者姓名： | 盛昭瀚 赵林度 刘世军 |
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| 作者单位： | School of Economics and Management，Southeast University，Nanjiing 210018 |
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| 摘 要： | ＰｒｅｃｉｓｉｏｎａｎｄＶｅｌｏｃｉｔｙｏｆＳｉｍｕｌａｔｉｎｇＭａｎｄｅｌｂｒｏｔＳｅｔＳｈｅｎｇＺｈａｏｈａｎ（盛昭瀚）ＺｈａｏＬｉｎｄｕ（赵林度）ＬｉｕＳｈｉｊｕｎ（刘世军）（ＳｃｈｏｏｌｏｆＥｃｏｎｏｍｉｃｓａｎｄＭａｎａｇｅｍｅｎｔ，Ｓｏｕ...
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Precision and Velocity of Simulating Mandelbrot Set |
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| Sheng Zhaohan,Zhao Lindu,Liu Shijun.Precision and Velocity of Simulating Mandelbrot Set[J].Journal of Southeast University(English Edition),1996(2). |
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| Authors: | Sheng Zhaohan Zhao Lindu Liu Shijun |
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| Abstract: | Mandelbrot set is self similar, it has a very complex dynamic structure. It is helpful to explore the complex structure of simulating the Mandelbrot set and to calculate its dimension. Problems of precision and velocity of simulation can be encountered inevitably in the process of simulation. The precision shows the accuracy of simulation and the velocity shows the speed at which to approach the set. Precision and velocity concern not only the effects of simulating the Mandelbrot set, but also the dimension of Mandelbrot set. Fractal dimension is an important parameter characterizing a fractal. It can be used to measure the inner structures of the Mandelbrot set. This paper simulates Mandelbrot set using the so called escaped method, and analyses the effects of precision, velocity and their interaction in the process of simulation. Dimension of Mandelbrot set is calculated by using statistical principles and methods that all lay the foundation to reveal the Mandelbrot set clearly. |
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| Keywords: | fractal Mandelbrot set statistics precision velocity fractal dimension |
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