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复多项式虚实部互换构造广义M集及J集
引用本文:陈宁,朱伟勇.复多项式虚实部互换构造广义M集及J集[J].东北大学学报(自然科学版),1997,18(3):298-301.
作者姓名:陈宁  朱伟勇
作者单位:东北大学信息科学与工程学院(陈宁),沈阳建筑工程学院(朱伟勇)
基金项目: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。

关 键 词:分形  复映射  复多项式  广义M集  广义J集

General M set and J set Generated by the Complex Mapping Exchanging Between the Real and Imaginary Parts of Complex Polynomial
Chen Ning,Zhu Weiyong.General M set and J set Generated by the Complex Mapping Exchanging Between the Real and Imaginary Parts of Complex Polynomial[J].Journal of Northeastern University(Natural Science),1997,18(3):298-301.
Authors:Chen Ning  Zhu Weiyong
Abstract: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.
Keywords:fractal  complex map  M fractal image  J fractal image  rotating escape time algorithm  
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