复多项式虚实部互换构造广义 M 集及 J 集  

General M set and J set Generated by the Complex Mapping Exchanging Between the Real and Imaginary Parts of Complex Polynomial

作　　者：陈宁[1,2] 朱伟勇[1,2] 

机构地区：[1]东北大学信息科学与工程学院 [2]沈阳建筑工程学院

出　　处：《东北大学学报（自然科学版）》1997年第3期298-301,共4页Journal of Northeastern University(Natural Science)

基　　金：国家"八六三"高科技基金;辽宁省自然科学基金;沈阳21世纪青年基金

摘　　要：在研究经典Ｍ－集构造方法的基础上，进一步将复多项式虚实部互换构造广义高阶Ｍ－集并对Ｍ－集的特征进行了分析研究．根据作者提出的旋转逃逸时间算法构造一系列相应的高阶Ｊｕｌｉａ集（Ｊ－分形图）．On the basis of studying the method of constructing the classical M set,the general high order M sets are generated by mapping from exchanging the real and imaginary parts of complex polynomial. The characteristics of the M set are analyzed. We construct a series of such high order M and J fractal images with the rotating escape time algorithm provided.

关 键 词：分形 复映射 复多项式 广义M集 广义J集 

分 类 号：O18[理学—数学]