复超越映射z←e^(z^w+c)构造M集与J集  

M and J Sets Constructed from Complex Mapping z←e^(z^w+c)

作　　者：朱晓玲[1] 陈宁[1] 

机构地区：[1]沈阳建筑工程学院计算机系,辽宁沈阳110015

出　　处：《沈阳建筑工程学院学报（自然科学版）》2002年第1期60-63,共4页Journal of Shenyang Architectural and Civil Engineering University(Nature Science)

基　　金：国家自然学基金 (6 99730 33);国家教委 (<高等学校骨干教师资助计划>) (2 0 0 0年 );辽宁省自然科学基金(2 0 0 0年 );沈阳市政府科研基金资助 (2 0 0 1年 )

摘　　要：通过构造复超越映射z←ezw+c在W ,C参数平面的广义M集和动力平面上的J集 ,研究了M集中吸引周期芽苞和“花朵串”中周期碎片的排列规律 ,发现有序的“花朵串”不仅连接了芽苞序列而且在逃逸区域形成“螺旋”的现象 。The M sets in the C and W plane and the J sets in the dynamic plane are constructed from the transcendental mapping z ←e z w+c . The arranging rule of the attracting period buds on the M sets and the corresponding relationship between the M set and J sets is researched. The phenomena, the arranging rule of the period fragments in the 'flower string' and the connection of bud sequences by the flower strings the buds and the spirals formed from the flower strings, are discussed. The phenomena, the influence of the change of the whole shape of J sets by the parameter w and the expansion in J sets when increasing the maximal iteration numbers, are investigated.

关 键 词：分形 复超越映射 M集 J集 混沌动力学 构造原理 芽苞序列 图像特征 

分 类 号：O415.5[理学—理论物理] TP391.41[理学—物理]