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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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Chinese Journal Full-text Database 6 Hits
1 CHEN Liang CHEN Jin-chang (South China University of Technology , Guangzhou 510640,China);Research on Drawing Mandelbrot Set Graphics Using VB[J];Journal of Engineering Graphics;2003-03
2 CHEN Jin-chang, ZHANG Guo-dong, CHEN Liang (College of Mechanical Engineering, South China University of Technology, Guangzhou 510640, China);Some Internal Structures of the Mandelbrot Set[J];Journal of Engineering Graphics;2004-03
3 WANG Xing-yuan1,2,HUANG Li1(1.School of Electronic & Information Engineering,Dalian University of Technology,Dalian 116024,China;2.School of Computer Science & Technology,Dalian Maritime University,Dalian 116026,China);Interior Structure of the Generalized Mandelbrot-Julia Sets[J];Journal of Engineering Graphics;2005-05
4 YAN De - jun; ZHANG Hong; ZHU Wei-yong (College of Science, Shenyang Polytechni University, Shenyang 110023, Chian);Mandelbrot set and julia sets generated by complex iteration z→■~2+c[J];Journal of Shenyang University of Technology;1999-02
5 ZHU Zhi-bin(Physics of Hexi University,Zhangye 734000,China);The New Model of Mandelbrot and Julia Sets Construction and Simulation[J];Microelectronics & Computer;2009-10
6 YAN DEJUN (Science School of Shenyang University of Technology, Shenyang 110023) LIU XIANGDONG ZHU WEIYONG DUAN XIAODONG (Computer Centre of Northeastern University, Shenyang 110006);THE STUDY OF GENERAL MANDELBROT SET GENERATED BY THE COMPLEX ITERATION z_(n+1) =+c[J];Acta Mathematicae Applicatae Sinica;2001-04
Chinese Journal Full-text Database 8 Hits
1 FU Chong, WANG Pei-rong, XU Zhe, ZHU Wei-yong(School of Information Science & Engineering, Northeastern University, Shenyang 110004, China. );Research on Chaos-Fractal Images Constructed by Complex Mapping z←sinz~2+c[J];JOURNAL OF NORTHEASTERN UNIVERSITY;2004-10
2 HE Xu-hua1,CHEN Jin-qiao2 (Department of Automation,Xiamen University,Xiamen 361005,china);The Java Multi-threading Application about Mandelbrot Set[J];Computer Knowledge and Technology;2008-01
3 Qin Xuanyun Guan Jihong Ren Bo Han Xuli(School of Mathematical Science and Computing Technology,Central South University,Changsha 410083);Analysis for the Symmetry of General J Sets to Iterated Parameters[J];Journal of Computer-Aided Design & Computer Graphics;2007-07
4 ZHU Wei-Yong 1) ZHU Zhi-Liang 1) LIU Xiang-Dong 2) ZENG Wen-Qu 3) YU Hai 3) CAO Lin 1) 1)(Computer Center, Northeastern University, Shenyang 110004) 2)(Department of Computer , Dalian Nationalities University, Dalian 116600) 3)(Department of Applied Mathematics, Guangdong University of Technology, Guangzhou 510090);A Series Conjectures of M-J Chaos-Fractal Image Construction by the Periodic Buds Fibonacci Sequence[J];Chinese Journal of Computers;2003-02
5 ZHU Wei Yong 1) SONG Chun Lin 1) DENG Xue Gong 1) LIU Xiang Dong 2) YU Hai 1) LI Zhi Yong 1) 1) (Computer Center, Northeastern University, Shenyang 110004) 2) (Department of Computer,Dalian Nationalities University, Dalian 116600);The M-J Chaotic Fractal Images of z~(-2)+c Generated by the Fibonacci Sequence and the Scaling Invariance[J];Chinese Journal of Computers;2004-01
6 TAN Jian-Rong+, CHENG Jin (State Key Laboratory of CAD&CG, Zhejiang University, Hangzhou 310027, China);General Mandelbrot Sets from the Complex Mapping z←()~(-a)+c(a≥2)and Its Symmetrical Period-Checking Algorithm[J];Journal of Software;2003-03
7 ZHANG Min,WANG Hua-yu (School of Information Science and Engineering,Shandong Normal University,Jinan 250014,China);Research and Application of an Automatic Color Scheme of Generalized M-J Sets[J];Computer Technology and Development;2010-03
8 ZHANG Li-liang(Institute of Matheatics,Ningde Teachers College,Ningde 352100,China);Construction Method in the Edge of General M-J Sets and its Fractal Dimension[J];Journal of Chinese Computer Systems;2008-07
【Secondary Citations】
Chinese Journal Full-text Database 7 Hits
1 FU Ting-liang~1,ZHU Zhi-chao~1,LI Chun-sheng~1,ZHANG Yang~2(1.Department of Computer,University of Science & Technology of China,Hefei 230027,China;2.Xilu Information Technology Co.Limitted,Beijing 100086,China);Fractal and a parametric design for fractal graphics in C~(++)[J];Journal of Anhui University(Natural Sciences);2005-06
2 Ke Fujun et al;Fractional Geometry and Fractional Pattens on Overlapping Function System[J];Journal of Textile Research;2003-05
3 Li Haitao Huang Jiang (Guangzhou Meteorological Satellite Ground Station);Fractal Graphics Based on MFC[J];Guangdong Automation & Information Engineering;2003-03
4 CHEN Ning\ ZHU Wei Yong (School of Information Science and Engineering, Northeastern University, Shenyang\ 110006);M FRACTAL IMAGE FROM COMPLEX MAPPING z←z w+c(w=α+iβ) IN THE COMPLEX C PLANE[J];JOURNAL OF COMPUTER RESEARCH AND DEVELOPMENT;1997-12
5 YAN Chun-yan,DENG Xue-xiong(South China University of Technology,Guangzhou 510641, China);Design of Fractal Artistic Patterns[J];Acta Agriculturae Universitis Jiangxiensis;2003-05
6 Wang xingyuan Liu Xiangdong(School of Information Science & Engineering ,Northeastem University,Shenyang 110006)Zhu Weiyong(Computation Center, Northeastern University, Shenyang 110006);Researches on General Mandelbrot Sets from Complex Map z←z~α+c(α<0)[J];ACTA MATHEMATIEA SCIENTIA;1999-01
7 DUAN Jun-sheng, GE Su-qiao (School of Science, Tianjin University of Commerce, Tianjin 300134, China; Department of Sports and Health, Tianjin University of Commerce, Tianjin 300134, China);Simulating Fractals by MATLAB[J];Journal of Tianjin University of Commerce;2005-06
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