【摘要】 利用周期分类法绘制了z-2 +c的广义M J集分形图 ,分析了广义M集周期芽苞同分岔图的对应关系 ,发现其广义M集周期芽苞的Fibonacci序列的拓扑不变性 .通过大量计算机数学试验 ,发现了主轴上倍周期芽苞在超吸引点处的符号序列的排列规律 ,给出了构造广义M集任意倍周期芽苞字提升方程的一个算法 ,得到主轴上各倍周期芽苞的超吸引点 ,通过大量计算结果猜测M集倍周期芽苞存在一个普适常数 δ ,Julia集存在一个标度因子 α .更多还原

【Abstract】 The M J chaotic fractal images of z -2 +c is protracted with periodic classification algorithm, and the corresponding relationship between Mandelbrot set’s period buds and bifurcation image is analyzed. It is found that the Fibonacci sequence of Mandelbrot set is uniform topology. The symbol sequences arrangement rule of multiplier periodic buds, which are on principal axis’s super attracted points, is proposed with lots of experiments. A novel algorithm used to construct word lifting formula of M sets’ arbitrary multiplier periodic buds is proposed. The multiplier periodic super attracted points are obtained which are on the principal axis. Further more, it is also found that there exists a general constant of M set and a mark factor of Julia set according to a lot of computing results.更多还原