摘要
基于开关复映射 ,阐述了广义Mandelbrot和Julia组合集 (简称广义M和J组合集 )的构造方法 ,并构造出一系列复映射z←zw+c(w∈C)的广义M和J组合集·通过分析广义M集和J集的构造算法 ,阐述了广义M集和J集的结构特点·在此基础上描述了广义M和J组合集的结构特征 ,并给出了广义M和J组合集的裂变原因·
According to the switched mapping,the method constructing the generalized Mandelbrot and Julia combination sets was elaborated,and a series of the generalized Mandelbrot and Julia combination sets from complex mapping z←z w+c(w∈C) were constructed.The construction characteristics of the generalized Mandelbrot sets and Julia sets were expounded according to the analysis of the algorithm constructing the generalized Mandelbrot sets and Julia sets.On the basis of what has already been achieved, the construction characteristics of the generalized Mandelbrot and Julia combination sets were described,and the discontinuity reason of the generalized Mandelbrot and Julia combination sets was given.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2001年第6期611-614,共4页
Journal of Northeastern University(Natural Science)
基金
中国博士后科学基金资助项目
辽宁省自然科学基金资助项目 ( 972 194)
