基于超越函数的广义Mandelbrot和Julia分形图  

Generalized Mandelbrot and Julia Fractal Graph Based on Escape Time Function

作　　者：周福才[1] 朱伟勇[1] 刘向东[1] 

机构地区：[1]东北大学信息科学与工程学院,辽宁沈阳110004

出　　处：《东北大学学报（自然科学版）》2002年第6期527-530,共4页Journal of Northeastern University(Natural Science)

基　　金：教育部博士学科点学科专项科研基金资助项目 (2 0 0 0 0 14 5 12 ;国家自然科学基金资助项目 (698740 3 8)

摘　　要：借鉴一般复动力系统z2 +c的M 集及J 集的对应关系 ,通过计算机实验方法 ,给出了超越函数λcos(z)广义M集中的点对应广义Julia集的结构特征 ,并对Mandelbrot 集与Julia 集之间的关系进行了分析·拓广了普通多项式复动力系统的Mandelbrot 集和Julia 集的分形结构对应关系·进一步展示了M J对应关系的普遍性 ,为Mandelbrot 集和Julia 集的发展提供了新的思路·由此可以看出 。The correspondent relationship between M set and J set of the general complex dynamic system z 2+c ,was examined to give out the structure characters of point correspondence general Julia set in the M set centralized escape time function λ cos( z ). The relationship of the Mandelbrot and Julia sets was also analysed by method of computer experiments. This broadens the correspondent relationship of M sets and J sets fractal graph of the general multinomial complex dynamic system. It also lays out the more universality of correspondent relationship between M sets and J sets, offers a new outlook for the developing of Mandelbrot sets and Julia sets. Therefore,computer simulation experiments have important actions in discussing the complexity and any unknown phenomena.

关 键 词：分形图 超越函数 广义Mandelbrot-集 Julia-集 结构特征 复动力系统 计算机 

分 类 号：TP301.5[自动化与计算机技术—计算机系统结构]