Identification of Discrete Chaotic Maps with Singular Points

We investigate the ability of artificial neural networks to reconstruct discrete chaotic maps with singular points. We use as a simple test model the Cusp map. We compare the traditional Multilayer Perceptron, the Chebyshev Neural Network and the Wavelet Neural Network. The numerical scheme for the...

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Published in:Discrete Dynamics in Nature and Society 2001-01, Vol.2001 (3), p.147-156
Main Authors: Akishin, P. G., Akritas, P., Antoniou, I., Ivanov, V. V.
Format: Article
Language:English
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Neural networks
Chaotic maps
Wavelets
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container_title Discrete Dynamics in Nature and Society
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creator Akishin, P. G.
Akritas, P.
Antoniou, I.
Ivanov, V. V.
description We investigate the ability of artificial neural networks to reconstruct discrete chaotic maps with singular points. We use as a simple test model the Cusp map. We compare the traditional Multilayer Perceptron, the Chebyshev Neural Network and the Wavelet Neural Network. The numerical scheme for the accurate determination of a singular point is also developed. We show that combining a neural network with the numerical algorithm for the determination of the singular point we are able to accurately approximate discrete chaotic maps with singularities.
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source Wiley Open Access Journals
subjects Neural networks
Chaotic maps
Wavelets
title Identification of Discrete Chaotic Maps with Singular Points
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