摘要
研究了复映射Z←Zα+C(α <0 )所产生的广义Mandelbrot集的内部结构 ,利用逃逸时间算法改变参数α,作出一系列分形图 ,通过具体的实验数据论证了这些分形图中逃逸点的分布规律 ,特别阐述了其中Bk′ 偏卫星系自相似嵌套规律·
The inner structure of the general Mandelbrot sets generated by the complex map Z←Z α+C(α <0) was studied. A series of families of fractal images were generated by using the escape time algorithm and changing a single parameter. The distributing rule of the escaping points was proved by using material data. The rule of self similar nestification of partial satellite galaxy B k′ was brought forward.
出处
《东北大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
2001年第4期373-376,共4页
Journal of Northeastern University(Natural Science)
基金
教育部博士点学科专项科研基金资助项目 ( 2 0 0 0 0 14 5 12 )