中国物理B ›› 2007, Vol. 16 ›› Issue (3): 565-569.doi: 10.1088/1009-1963/16/3/001

• GENERAL •    下一篇

Multifractal analysis of the Yellow River flows

臧保将, 商朋见   

  1. Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing 100044, China
  • 收稿日期:2005-11-24 修回日期:2006-02-09 出版日期:2007-03-20 发布日期:2007-03-20
  • 基金资助:
    Project supported by NPKBRP973 (2004CB318005) in China.

Multifractal analysis of the Yellow River flows

Zang Bao-Jiang(臧保将)† and Shang Peng-Jian(商朋见)‡   

  1. Department of Mathematics, School of Science, Beijing Jiaotong University, Beijing 100044, China
  • Received:2005-11-24 Revised:2006-02-09 Online:2007-03-20 Published:2007-03-20
  • Supported by:
    Project supported by NPKBRP973 (2004CB318005) in China.

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摘要： This paper deals with time series of the Yellow River daily flows at Tongguan hydrological station, from the year 2000 to 2005. Power spectrum analysis and statistical moment scaling function on a range of scales revealed scaling qualities of the data. The partition function, which displayed a convex curvature, and the generalized dimension function showed that multifractality is presented. The singularity spectrum, which is single-humped, has shown strong multifractality degree.

Abstract: This paper deals with time series of the Yellow River daily flows at Tongguan hydrological station, from the year 2000 to 2005. Power spectrum analysis and statistical moment scaling function on a range of scales revealed scaling qualities of the data. The partition function, which displayed a convex curvature, and the generalized dimension function showed that multifractality is presented. The singularity spectrum, which is single-humped, has shown strong multifractality degree.

Key words: multifractal, scale, time series, river flows

中图分类号:  (Fractals in fluid dynamics)

  • 47.53.+n
47.11.-j (Computational methods in fluid dynamics) 92.40.Qk (Surface water, water resources)