Computing of Lyapunov Exponents Techniques Using Neural Networks

Golovko, Vladimir; Savitsky, Yury

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Автор

Golovko, Vladimir
Savitsky, Yury

Дата издания

2003

Издательство

BSUIR

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Библиографическое описание

Golovko, V. Computing of Lyapunov Exponents Techniques Using Neural Networks / Vladimir Golovko, Yury Savitsky // The 3nd International Conference on Neural Networks and Artificial Intelligence = Нейронные сети и искусственный интеллект : proceedings, Minsk, November 12–14, 2003 / Belarusian State University of Informatics and Radioelectronicsb ; ed.: Rauf Kh. Sadykhov [et al.]. – Minsk, 2003. – P. 227–231 : il. – Bibliogr.: p. 231 (8 titles).

Аннотация

The authors examine neural network techniques for computing of Lyapunov spectrum using observations from unknown dynamical system. Such an approach is based on 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 scalar time series. The results of experiments are discussed.