The matric algorithm of Lyapunov exponent for the experimental data obtained in dynamic analysis
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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 wordsnonlinear chaotic timeseries Lyapunov exponent matric algorithm
CLC numberO175.14 O241.81
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- Ma Junhai, Chen Yushu. For critical value influence studying of the different distributed phase-randomized to date obtained in dynamic analysis [J].Journal of Nonlinear Dynamics in Science and Technology, 1997,4(1): 25–33. (in Chinese)Google Scholar
- Shun Guanwu, et al. The Lyapunov exponent near the criticality of type V intermittency [J].Phys Lett A, 1995,197(1): 287–292.Google Scholar