长江科学院院报 ›› 2004, Vol. 21 ›› Issue (1): 43-46.

• 水资源与环境 • 上一篇    下一篇

长江上游川中地区降水时间序列的混沌分析

 门宝辉, 赵燮京, 梁川   

  • 出版日期:2004-02-01 发布日期:2012-03-05

Chaos analysis on precipitation time serialin Sichuan middle region of Yangtze River upstream reaches

 MEN  Bao-Hui, ZHAO  Xie-Jing, LIANG  Chuan-   

  • Online:2004-02-01 Published:2012-03-05

摘要: 在介绍重构相空间技术的主要定量指标(关联维数D2和柯尔莫奇诺夫(Kolmogorov)熵)的基础上,针对长江上游川中地区降水时间序列,探讨了不同嵌入维m下其关联维数的变化规律。计算结果为该时间序列的饱和关联维D2=5.11,最低嵌入维m=10,Kolmogorov熵k=0.338;采用主分量分析(PCA分布)方法进一步验证了该序列具有混沌特性,并且得到该序列的预测年限不应超过2.96 a,为降水预测提供了较为科学的依据。

关键词: 关联维数, 长江上游, 主分量分析, 柯尔莫奇诺夫(Kolmogorov)熵

Abstract: Based on introducing the main quantitative indexes ofcorrelation dimension D2 and Kolmogorov entropy in rebuilding time series imbedding space, the relationship between built-in dimension m and correlation dimension D2 is discussed with the precipitation time serial in Sichuan middle region of Yangtze River upstream. The saturation correlation dimension, minimum built-in dimension and Kolmogorov entropy are calculated and given, that is D2=5.11,m=10 and k=0.338. Primary component analysis method is applied to validate its chaotic character, and obtained that the forecasting length for this precipitation time serial would not exceed 2.96 year. This time serial chaotic analysis will provide a scientific gist for precipitation forecasting.