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地球变化磁场的分形和混沌特征
引用本文:王赤,陈金波,王水.地球变化磁场的分形和混沌特征[J].地球物理学报,1995,38(1):16-24.
作者姓名:王赤  陈金波  王水
作者单位:中国科学技术大学地球和空间科学系
摘    要:将北京地区地球变化磁场的水平分量作为一无规时间序列,利用谱分析方法求出了1959,1965,1970和1976年时间段的分数维布朗运动(FBM)的维数Db。结果表明Db值与太阳活动性呈负相关。进而利用时间延迟方法来重建该序列在相空间的吸引子,计算得到吸引子的维数D=4.2±0.4,最大Lyapunov指数总是正值。这表明地球变化磁场可能是混沌的。还利用一简单模型说明太阳活动性对地球变化磁场Db值的影响。

关 键 词:地球变化磁场  分形  混沌  
收稿时间:1993-06-28

FRACTAL AND CHAOTIC FEATURES FOR VARYING COMPONENT OF THE EARTH'S MAGNETIC FIELD
WANG CHI,CHEN JIN-BO,WANG SHUI.FRACTAL AND CHAOTIC FEATURES FOR VARYING COMPONENT OF THE EARTH''''S MAGNETIC FIELD[J].Chinese Journal of Geophysics,1995,38(1):16-24.
Authors:WANG CHI  CHEN JIN-BO  WANG SHUI
Affiliation:Department of Earth and Space Sciences, University of Science and Technology of China, Hefei 230026
Abstract:It regarded the horizontal component of the earth's magnetic field observed in Beijing as a random time series,the FBM fractal dimension Db of the time series in 1959, 1965,1970 and 1976 was obtained by use of spectra analysis.The results show that the relation between Db and the solar activity is negative.The attractor was reconstructed by means of time delay,and the dimension of the underlaying system is 4.2±0.4.The largest Lyapunov exponent is always positive.These results indicate that the varying component of the earth's magnetic field may be chaotic.Finally, we illustrate the effect of solar activity on Db using a simple model qualitatively.
Keywords:Varying component of the earth's magnetic field  Fractal  Chaos
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