复迭代z→~2+c的Mandelbrot集和Julia集

Mandelbrot set and julia sets generated by complex iteration z→■~2+c

研究了复迭代的Mandelbroat集及充满的Julia集，指出其Mandelbroat集关于实轴是对称的，并且具有2π／3的旋转对称性，并利用逃逸时间算法和周期点查找的方法画Mandelbrot集，可以更清楚地了解Mandelbrot集的结构．提出了研究非解析复迭代映射的Mandelbroat集及Julia集的方法．

The Mandelbrot set and Julia sets generated by are studied. The Mandelbrot set is symmetrical by reflection in the real axis, and 3 - way rotatiomally symmetric. And it is painted with the escape- time methods and the periodic scanning algorithm, which is a better understanding of the structure of the Mandelbrot set. The method of studing the Mandelbrot set and Julia sets generated by non-analytic complex iteration is put forward.