SWITCHED PROCESSES GENERALIZED MANDELBROT SETS FOR COMPLEX INDEX NUMBER

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SWITCHED PROCESSES GENERALIZED MANDELBROT SETS FOR COMPLEX INDEX NUMBER

According to the switched complex mapping proposed by the author, the methodconstructing the switched processes generalized M(Mandelbrot) sets was elaborated, and aseries of the switched processes generalized M sets for complex index number wereconstructed. The construction characteristics of the generalized M sets were expoundedaccording to the analysis of the algorithm constructing the generalized M sets. On the basisof what has already been achieved, the trajectories of a starting point in the complex C-planeunder the switched mapping were researched into. The results show that the switchedprocesses generalized M sets have the fractal feature, the construction characteristics of theswitched processes generalized M sets are dependent on the complex index number w and theswitched variable ro , and the reason which results in the discontinuity of the switchedprocesses generalized M sets is the discontinuity of choice of the principal range of the phaseangle.水利论文Wa.q0@9d/q*o

作 者: 王兴元  
作者单位:School of Electronic and Information Engineering, Dalian University of Technology, Dalian 116024, China 
刊 名:应用数学和力学(英文版)  EI SCI
英文刊名:APPLIED MATHEMATICS AND MECHANICS(ENGLISH EDITION) 
年,卷(期):2003 24(1) 
分类号:TP301.5 
关键词:complex mapping   switched processes generalized M sets   fractal   evolution  
机标关键词:fractal featurecomplex mappingrange of 
基金项目:国家自然科学基金,辽宁省自然科学基金 
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