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Estimation the Lyapunov Spectrum from One-Dimensional Observation Using Neural Networks
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Date
2003Publisher
Lviv polytechnicCitation
Golovko, V. Estimation the Lyapunov Spectrum from One-Dimensional Observation Using Neural Networks / Vladimir Golovko // Proceeding of the Second IEEE International Workshop on Intelligent Data Acquisition and Advanced Computing Systems: Technology and Applications : IDAACS’2003, Lviv, September 8–10, 2003 / Institute of computer information technologies [et. al]. – Lviv : Lviv polytechnic, 2003. – P. 95–98 : il. – Bibliogr.: p. 98 (5 titles).Abstract
This paper discusses 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.
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