【摘要】 利用计算机可视化技术，研究了一般复三次迭代系统的动力行为以及相应的Ｍａｎｄｅｌｂｒｏｔ集和Ｊｕｌｉａ集的结构，并利用周期扫描法画出了Ｍａｎｄｅｌｂｒｏｔ集，分析了临界点和Ｊｕｌｉａ集之间的关系·对于多于一个临界点的复动力系统，其在复平面上的动力行为完全取决于临界点轨道的收敛性·更多还原

【Abstract】 The dynamic action and the structures of the Mandelbrot set and Julia sets generated by a general complex cubic iteration were studied with the computer visualization technique, and the relations between the critical points and Julia sets were analysed. The Mandelbrot set was painted with the periodic scanning algorithm. For a complex dynamic system with more than one critical point, its dynamic characteristics in the complex plane is decided by the behaviors of the orbits of the critical points.更多还原