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Estimation of the Lyapunov spectrum from one-dimensional observations using neural networks

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1 Author(s)
V. Golovko ; Brest State Tech. Univ., Belarus

We discuss the neural network approach for computing of Lyapunov spectrum using one dimensional time series from unknown dynamical system. Such an approach is based on the reconstruction of attractor dynamics and applying of multilayer perceptron (MLP) for forecasting the next state of dynamical system from the previous one. It allows for evaluating the Lyapunov spectrum of unknown dynamical system accurately and efficiently only by using one observation. The results of experiments are discussed

Published in:

Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications, 2003. Proceedings of the Second IEEE International Workshop on

Date of Conference:

8-10 Sept. 2003