SCIENTIA GEOGRAPHICA SINICA ›› 1998, Vol. 18 ›› Issue (4): 362-367.doi: 10.13249/j.cnki.sgs.1998.04.362

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STUDY ON THE ATTRACTOR DIMENSION OF THE FLOOD SERIES IN HUAIHE RIVER BASIN

Zhou Yinkang, Bao Haosheng, Zhang Jie   

  1. Department of Urban and Resources, Nanjing University, Nanjing 210093
  • Received:1997-07-14 Revised:1997-12-16 Online:1998-07-20 Published:1998-07-20

Abstract: Mang researches have been made about the flood series based on the abundant historical data in the Huaihe River basin, like other basins in China. The work mainly focused on the history data’s arrangement, reconstruction and statistical analysis, like periodic analysis. The inherent nonlinear trait of the series studied less. In recent years, the nonlinear applied researches in earth sciences are being paid attention with the development of the nonlinear sciences, such as fractals, chaotic theory. The flood series in the Huaihe River basin is a kind of an irregular Contor Set that is a typical fractal structure. The power spectral feature which is similar to the characteristic of a chaotic series spectrum means that the flood series in the Huaihe River basin is a chaotic series. In chaotic theory, attracttor dimension is an important parameter. It cab be represented by correlative dimension. The correlative dimensions of the flood series and some time moving series in the Huiahe River basin are studied according to the theorem of embedding phace. The results show that the correlative dimension reflects the systematic hierarchy. The smaller the fractal dimension, the more obvious the tendency of the system, and vice versa. The correlative dimension is an important judgment to the complexity of a system. Reconstructing a dynamic system should have at least 5 independent parameters according to the attractor dimension (4.66) of the flood series. This is practical to the simulation or reconstruction of the flood series.

CLC Number: 

  • P333.6