Applied Mathematics and Mechanics

, Volume 20, Issue 9, pp 985–993 | Cite as

The matric algorithm of Lyapunov exponent for the experimental data obtained in dynamic analysis

  • Ma Junhai
  • Chen Yushu
  • Liu Zengrong
Article

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.

Key words

nonlinear chaotic timeseries Lyapunov exponent matric algorithm 

CLC number

O175.14 O241.81 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 1999

Authors and Affiliations

  • Ma Junhai
    • 1
  • Chen Yushu
    • 2
  • Liu Zengrong
    • 3
  1. 1.Department of Economy and ManagementTianjin Finance UniversityTianjinP R China
  2. 2.Department of MechanicsTianjin UniversityTianjinP R China
  3. 3.Department of MathematicsShanghai UniversityShanghaiP R China

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