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.

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

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