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.
出处
《东北大学学报(自然科学版)》
EI
CAS
CSCD
北大核心
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)