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Proceedings Paper

A practical method to compute the largest Lyapunov exponent
Author(s): Mingchuan Miao; Ruoqian Wang; Shaoqiang Yuan; Shangchun Fan
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Paper 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.

Paper Details

Date Published: 28 October 2006
PDF: 6 pages
Proc. SPIE 6358, Sixth International Symposium on Instrumentation and Control Technology: Sensors, Automatic Measurement, Control, and Computer Simulation, 63580Q (28 October 2006); doi: 10.1117/12.717793
Show Author Affiliations
Mingchuan Miao, Beijing Univ. of Aeronautics and Astronautics (China)
Ruoqian Wang, Beijing Univ. of Aeronautics and Astronautics (China)
Shaoqiang Yuan, Beijing Univ. of Aeronautics and Astronautics (China)
Shangchun Fan, Beijing Univ. of Aeronautics and Astronautics (China)


Published in SPIE Proceedings Vol. 6358:
Sixth International Symposium on Instrumentation and Control Technology: Sensors, Automatic Measurement, Control, and Computer Simulation
Jiancheng Fang; Zhongyu Wang, Editor(s)

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