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《Journal of Graphics》 2012-03
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The inversion between Mandelbrot and Julia sets

Li Jinfei1,Sheng Zhongping2(1.Daqing Petroleum High School,Daqing Heilongjiang 163712,China; 2.School of Mathematics and Statistics,Northeast Normal University,Changchun Jilin 130024,China)  
The inversion problem between Mandelbrot and Julia sets is discussed in this paper.Providing the inversions of arbitrary point on extended complex plane to iterative functions,it obtains two kinds of conjugate function of the iterative function drawing Julia and Mandelbrot sets.The Julia and Mandelbrot sets for the two kinds of conjugate function,are exactly the inversion figures of original ones.Using the escape time algorithm,it draws the inversion figures of Julia and Mandelbrot sets.
【Fund】: 国家自然科学基金资助项目(10971022)
【CateGory Index】: O144
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