DocumentCode
2102683
Title
Estimation of Lyapunov exponents by using the perceptron
Author
Djamai, L. ; Coirault, Patrick
Author_Institution
Lab. d´´Automatique et d´´Informatique Industrielle, Ecole Superieure d´´Ingenieurs de Poitiers, France
Volume
6
fYear
2002
fDate
2002
Firstpage
5150
Abstract
The aim of the paper is to estimate the Lyapunov exponents of a chaotic system. This estimation uses a multilayer perceptron to obtain the Jacobian matrices and uses the QR decomposition to obtain the Lyapunov exponents. Two examples are presented to demonstrate the efficiency of this method.
Keywords
Jacobian matrices; Lyapunov methods; chaos; gradient methods; identification; multilayer perceptrons; Jacobian matrices; Lyapunov exponents; QR decomposition; chaotic system; multilayer perceptron; Chaos; Character generation; H infinity control; Jacobian matrices; Least squares methods; Minimization methods; Multilayer perceptrons; Neurons;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2002. Proceedings of the 2002
ISSN
0743-1619
Print_ISBN
0-7803-7298-0
Type
conf
DOI
10.1109/ACC.2002.1025484
Filename
1025484
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