复映射｛ei_ 2π（zm）+c｝构造广义Mandelbrot集及Julia集
GENERAL MANDELBROT SET AND JULIA SET CONSTRUCTED BY COMPLEX MAPPING e iπ2 （ z m ）+c
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摘要: 在利用经典Ｍ集（ｆ（ｚ）＝ｚ２＋ｃ）构造方法构造ｆ１（ｚ）＝ｚｍ＋ｃ的基础上，进一步构造了ｆ２（ｚ）＝ｅｉπ２ｚｍ＋ｃ广义高阶Ｍ集．对Ｍ集的特征进行了分析研究．利用作者提出的旋转逃逸时间算法构造了一系列ｆ２的高阶Ｍ分形图及Ｊ分形图Abstract: After constructing the general M set of f 1（z）=z m+c based on the method of constructing the classical M set, we construct the general high order M set of the mapping f 2（z）=e iπ2 （ z m ）+c . The characteristics of the M set are analyzed. Also constructed are a series of high order M and J fractal images of f 2 with the rotating escape time algorithm provided by us.
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