@inproceedings{1e9f5e7a83b2497491d279cd5846563a,
title = "A practical method to compute the largest Lyapunov exponent",
abstract = "It is a significant problem to determine whether a dynamical system present chaos, it could be solved by measuring the largest Lyapunov exponent of the system. Lyapunov exponents quantify the exponential divergence of the close phase-space trajectories and offer quantities to estimate the chaos. This article proposes a new method to calculate the largest Lyapunov exponent from experimental data. The method makes use of mutual information method and Cao's method to reconstruct the phase-space, and gets the largest Lyapunov exponent by Sano-Sawada method from computing Lyapunov exponent spectrum. This article also shows how stable and robust this new method practices comparing with other methods proven by large numbers of test.",
keywords = "Cao's method, Chaos, Largest Lyapunov exponent spectrum, MATLAB",
author = "Mingchuan Miao and Ruoqian Wang and Shaoqiang Yuan and Shangchun Fan",
year = "2006",
doi = "10.1117/12.717793",
language = "英语",
isbn = "0819464538",
series = "Proceedings of SPIE - The International Society for Optical Engineering",
booktitle = "Sixth International Symposium on Instrumentation and Control Technology",
note = "Sixth International Symposium on Instrumentation and Control Technology: Sensors, Automatic Measurement, Control and Computer Simulation ; Conference date: 13-10-2006 Through 15-10-2006",
}