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中文摘要：
研究分形的特征参数——关联维数的G-P（Grassberger-Ptzcaccia）计算方法．利用关联维数的基本原理，对湖南省1986-2005年的工业“三废”综合利用产品产值数据序列进行分形特征分析，构建m维相空间及相应的分形特征模型．研究结果表明，当嵌入维数达到7以后，动力学系统具有相对稳定的关联维数2．98，说明至少有3个因子在影响着该时间序列的动态变化，并且该系统的有效自由度为7．研究中以关联维数作为依据，对建立该时间序列的预测模型有较大的参考价值．
英文摘要：
The calculation method of fractal characteristic parameter-G-P （Grassberger-Procaccia） calculation method of the correction dimension is studied. Fracture feature analyms was applied to me from 1986 to 2005 year in Hunan Province using the basic principle of correction dimensions, and m dimensional phase space was then constructed. The results indicated that the dynamic system had a relatively steady correlation dimension （2.98） after the embedd dimension came to be 7. which suggested that at least three factors affects the dynamic changes of darns sequence , and the effective freedom was 7. The reaserch provides considerable references for establishing predictable model for it.
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