The Matric Algorithm of Lyapunov Exponent for the Experimental Date Obtained in Dynamic Analysis

Ma Junhai; Chen Yushu; Liu Zengrong

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Article Navigation > Applied Mathematics and Mechanics > 1999 > 20(9): 919-927

Ma Junhai, Chen Yushu, Liu Zengrong. The Matric Algorithm of Lyapunov Exponent for the Experimental Date Obtained in Dynamic Analysis[J]. Applied Mathematics and Mechanics, 1999, 20(9): 919-927.

Citation:

Ma Junhai, Chen Yushu, Liu Zengrong. The Matric Algorithm of Lyapunov Exponent for the Experimental Date Obtained in Dynamic Analysis[J]. Applied Mathematics and Mechanics, 1999, 20(9): 919-927.

Citation:

Ma Junhai, Chen Yushu, Liu Zengrong. The Matric Algorithm of Lyapunov Exponent for the Experimental Date Obtained in Dynamic Analysis[J]. Applied Mathematics and Mechanics, 1999, 20(9): 919-927.

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The Matric Algorithm of Lyapunov Exponent for the Experimental Date Obtained in Dynamic Analysis

1.
Department of Economy and M anagement, Tianjin Finance University, Tianjin 300222, P. R. China;
2.
Department of Mechanics, Tianjin University, Tianjin 300072, P. R. China;
3.
Department of Mathematics, Shanghai University, Shanghai 201800, P. R. China

Received Date: 1997-05-10
Rev Recd Date: 1999-03-05
Publish Date: 1999-09-15

Abstract

Abstract

The Lyapunov exponent is important quantitative index for describing chaotic attractors.Since Wolf put up the trajectory algorithm to Lyapunov exponent in 1985,how to calculate the Lyapunov exponent with accuracy has become a very important question.Based on the theoretical algorithm of Zuo Binwu,the matric algorithm of Lyapunov exponent is given,and the results with the results of Wolf's algorithm are compared.The calculating results validate that the matric algorithm has sufficient accuracy,and the relationship between the character of attractor and the value of Lyapunov exponent is studied in this paper.The corresponding conclusions are given in this paper.
- nonlinear chaotic timeseries,
- Lyapunov exponent,
- matric algorithm

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References(10)

References

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