摘要
基于时间序列相空间重构思想和多重分形理论,对安徽省某市河道型水源地氨氮的时间序列进行分析,合理选取嵌入滞时τ,采用Grassberger和Procaccia提出的混沌吸引子的G-P算法,构建n维相空间,计算嵌入维数m和分形维数D。计算结构表明:当嵌入维数达到9以后,河流氨氮时间序列动力学系统具有稳定的分形维数1.886,说明有2个因子在影响该水源地氨氮的动态变化,并且该系统的有效自由度为9,为水质系统建模时提供了变量数的上界。
Taken a river＇s ammonia time serials in Anhui Province as example, based on chaos theory and the thought of time serials reconstruction phase space for water quality simulation and prediction, the chaos attraction＇s fractal character and trochoid mechanism within multi-dimension for water quality system is analyzed in this paper. The correction of ammonia time serials is analyzed using G-P arithmetic based on the chao＇s fractal theory, and n dimensional phase space is reconstructed via lingering time n then. Moreover, the analysis about fractal character combined with basic principle of correction dimension D and embedded dimension m are conducted. The result shows that the dynamic system of dissolved oxygen has a steady correction dimension 1. 886 when embedded dimension comes to 9, that is, at least 2 factors are controlling River＇s ammonia, and the effective freedom is 9.
出处
《安徽建筑工业学院学报（自然科学版）》
2007年第6期41-44,共4页
Journal of Anhui Institute of Architecture(Natural Science)
关键词
重构相空间
分形特征
分形维数
氨氮
reconstruction phase space
fractal character
correction dimension
ammonia
