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复迭代z→~2+c的Mandelbrot集和Julia集
Mandelbrot set and julia sets generated by complex iteration z→■~2+c
【摘要】 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.
【Abstract】 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.
【基金】 国家博士点学科专项科研基金!97014510;辽宁省自然科学基金!962177
- 【文献出处】 沈阳工业大学学报 ,Journal of Shenyang University of Technology , 编辑部邮箱 ,1999年02期
- 【分类号】TP391.4
- 【被引频次】7
- 【下载频次】117