负实数阶充满的广义J集内部分形模式的计算机构造

Computer Constructed Internal Fractal Structures of the Packed General Julia Sets for Negative Real Index Number

将Pickover和Hooper提出的“ε正交法”和“星迹法”进行了推广 ,并根据推广的这两种算法 ,利用计算机构造出一系列负实数阶广义Julia集 (简称广义J集 )的内部结构图·研究表明负整数阶广义J集的内部结构具有旋转对称性和分形特征 ;负小数阶广义J集内部结构不再具有旋转对称性 ,其演化过程依赖相角主值范围的选取·

The two methods of “epsilon cross” and “star trails” developed by Pickover and Hooper,respectively,were expanded.According to these two methods,a series of internal structures images of the packed general Julia sets for negative real index number were constructed by means of computer. The internal structures images of the general Julia sets for negative integer index number are rotation symmetry and fractal. The internal structures images of the general Julia sets for negative decimal index number are asymmetry and their different evolution results from the different choice of principal range for the phase angle.