摘要
提出用复映射ｚ←ｚｗ＋ｃ，（ｗ＝α＋ｉβ，α，β∈Ｒ１），构造大量Ｊ分形图．当ｗ＝α＜０时，构造出不同于相关文献的Ｊｕｌｉａ分形图．根据大量实验，提出关于该映射参数平面上的Ｍ集与动力平面上的Ｊｕｌｉａ集之间对应关系的Ｍ－Ｊ猜想及计算公式ＰＮＯ。
The complex mapping z←z w+c,(w=α+iβ,α,β∈R 1 ) is used to construct many J fractal images. For w=α<0 , the Julia fractal images which are different from those in references concerned are generated. Based on a great number of experiments, an M J conjecture and a formula PNO for investigating corresponding relationship between the M set in the C plane and J set in the Z plane are presented to predict the image features of the J fractal image for a parameter c in the M set.
出处
《计算机研究与发展》
EI
CSCD
北大核心
1998年第11期1020-1023,共4页
Journal of Computer Research and Development
基金
辽宁省自然科学基金
沈阳21世纪青年基金
关键词
分形
分形图
复映射
fractal, fractal image, complex mappingClass number TP391.4
