中文摘要：

分形理论是分析和研究自然界中具有“自相似性”、“自仿射性”不规则形体的重要手段。分形维是描述这种分形体的定量参数,反映了系统的复杂性与本质特征。利用相空间重建理论与G-P算法对大地电磁场的时间序列进行相空间重构,表明大地电磁场时间序列相空间的吸引子是存在的,大地电磁场虽然看似随机的天然信号,事实上它是具有内在确定性的随机信号。实例分析表明,大地电磁场时间序列关联维数与地下介质特征密切相关,能定性地反映介质的电性分布与结构特征。

英文摘要：

The fractal theory provides an important method in study of irregular objects of self-similarity and self-affinity.The fractal dimension is a quantitative parameter that describes the fractal objects and indicates the complicity and essential characteristics of the system.In this paper the phase space of the time series of nature field is reconstructed by the theory of phase space reconstructing and G-P algorithm,the results show that the phase space of nature filed has the chaotic attractor,although the na...