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
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;
Conference_Titel :
American Control Conference, 2002. Proceedings of the 2002
Print_ISBN :
0-7803-7298-0
DOI :
10.1109/ACC.2002.1025484
