摘要
为探讨Mandelbrot集 (简称M集 )的内部结构 ,Pickover和Hooper曾分别提出了“ε正交法”和“星迹法”·将这两种方法进行了推广 ,给出了一系列正实数阶广义M集的内部结构图·研究表明正整数阶广义M集的内部结构具有对称性和分形特征 ;正小数阶广义M集内部结构不再具有对称性 ,其演化过程依赖相角主值范围的选取·
In order to research on some internal structures of the Mandelbrot set,Pickover and Hooper have advanced “epsilon cross” and “star trails”methods,respectively. These two methods were expanded,and a series of internal structures images of the general Mandelbrot sets for positive real index number were given out. The internal structures images of the general Mandelbrot sets for positive integer index number are symmetry and fractal. The internal structures images of the general Mandelbrot sets for positive decimal index number are asymmetry and their different evolution results from the different choice of principal range for the phase angle.
出处
《东北大学学报（自然科学版）》
EI
CAS
CSCD
北大核心
2000年第5期490-493,共4页
Journal of Northeastern University(Natural Science)
基金
国家自然科学基金! ( 69974 0 0 8)
中国博士后科学基金及辽宁省自然科学基金! ( 972 194 )
