Study on State Recognition of ASCE Benchmark Based on Lyapunov Exponent Spectrum Entropy
The paper has made a maximum Lyapunov exponent and Lyapunov exponent spectrum entropy analysis of ASCE Benchmark using non-linear theory and chaos time sequence. The maximum Lyapunov exponents in the two kinds of structural monitored data are both over zero, indicating that in the structural system chaos phenomenon has appeared. And, experiments have shown that the maximum Lyapunov exponent is sensitive of the amount of samples and the time delay. So, to compute the chaos index, the amount of samples and the time duration are of importance. Meanwhile, the Lyapunov exponent spectrum entropy is effective to measure the chaotic characteristic of the system, but ,the entropy is less sensitive to state recognition more than the max Lyapunov exponent.
Chaohe Chen, Yong Huang and Guangfan Li
J. X. Yang et al., "Study on State Recognition of ASCE Benchmark Based on Lyapunov Exponent Spectrum Entropy", Advanced Materials Research, Vols. 243-249, pp. 5435-5439, 2011