中国物理B ›› 2006, Vol. 15 ›› Issue (6): 1384-1390.doi: 10.1088/1009-1963/15/6/043

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Sensitivity of intrinsic mode functions of Lorenz system to initial values based on EMD method

邹明玮1, 封国林2, 高新全3   

  1. (1)Department of Physics, Yangzhou University, Yangzhou , 225002, China;Key Laboratory of Regional Climate--Environment Research for Temperate East Asia, the Institute of Atmospheric Physics, Chinese Academy of Sciences,Beijing, 100029, China; (2)Key Laboratory of Regional Climate--Environment Research for Temperate East Asia, the Institute of Atmospheric Physics, Chinese Academy of Sciences,Beijing, 100029, China;Laboratory for Climate Studies of China Meteorological Administration, National Clim; (3)Laboratory for Climate Studies of China Meteorological Administration, National Climate Center, Beijing 100081, China
  • 收稿日期:2005-11-02 修回日期:2006-03-22 出版日期:2006-06-20 发布日期:2006-06-20
  • 基金资助:
    Supported jointly by the State Key Development Program for Basic Research of China (Grant No 2006CB400503),the National Natural Sciences Foundation of China (Grant Nos 40325015 and 90411008) and the Climate Change Special Foundation of China Meteorological Administration (Grant No CCSF2006-5).

Sensitivity of intrinsic mode functions of Lorenz system to initial values based on EMD method

Zou Ming-Wei (邹明玮)ab, Feng Guo-lin (封国林)bc, Gao Xin-Quan (高新全)c   

  1. a Department of Physics, Yangzhou University, Yangzhou 225002, Chinab Key Laboratory of Regional Climate--Environment Research for Temperate East Asia, the Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing 100029, China; c Laboratory for Climate Studies of China Meteorological Administration, National Climate Center, Beijing 100081, China
  • Received:2005-11-02 Revised:2006-03-22 Online:2006-06-20 Published:2006-06-20
  • Supported by:
    Supported jointly by the State Key Development Program for Basic Research of China (Grant No 2006CB400503),the National Natural Sciences Foundation of China (Grant Nos 40325015 and 90411008) and the Climate Change Special Foundation of China Meteorological Administration (Grant No CCSF2006-5).

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摘要： Extreme sensitivity to initial values is an intrinsic character of chaotic systems. The evolution of a chaotic system has a spatiotemporal structure containing quasi-periodic changes of different spatiotemporal scales. This paper uses an empirical mode decomposition (EMD) method to decompose and compare the evolution of the time-dependent evolutions of the $x$-component of the Lorenz system. The results indicate that the sensitivity of intrinsic mode function (IMF) component is dependent on initial values, which provides some scientific evidence for the possibility of long-range climatic prediction.

关键词: empirical mode decomposition (EMD), sensitivity, initial values, hierarchical level

Abstract: Extreme sensitivity to initial values is an intrinsic character of chaotic systems. The evolution of a chaotic system has a spatiotemporal structure containing quasi-periodic changes of different spatiotemporal scales. This paper uses an empirical mode decomposition (EMD) method to decompose and compare the evolution of the time-dependent evolutions of the $x$-component of the Lorenz system. The results indicate that the sensitivity of intrinsic mode function (IMF) component is dependent on initial values, which provides some scientific evidence for the possibility of long-range climatic prediction.

Key words: empirical mode decomposition (EMD), sensitivity, initial values, hierarchical level

中图分类号:  (Nonlinear dynamics and chaos)

  • 05.45.-a
02.30.Uu (Integral transforms) 92.60.Ry (Climatology, climate change and variability)