【摘要】 在对ＭＪ集对应的不同周期轨道的各种混沌特征分析的基础上，研究发现与ＭＪ集的分维分布密切相关的５个主要因数：轨道周期数、吸引率、拟李雅普诺夫指数、协方差和重心，利用计算机对ＭＪ集整体分维分布的性质进行了研究，运用概率统计方法给出了其上的分维分布谱密度函数，通过统计分析说明谱密度函数的可靠性·更多还原

【Abstract】 Studying the orbits of the M J set and their chaotic characters in different periods,it was discovered five numbers which were essentially related to the fractal dimension of the M J set: period of the orbit, attracting rate of the orbit, coordinate variance of the orbit, quasi Lyapunov exponent of the orbit and focus of the orbit. The characters of fractal dimension of whole M J set were studied by means of computer. A spectrum distribution function of fractal dimension of whole M J set was given and its dependability was proved by statistic analysis.更多还原