Authors: Stanković, Miomir 
Todorović, Branimir
Vidojković, Bojana
Title: Reconstruction of chaotic dynamics using structurally adaptive radial basis function networks
Journal: 2002 6th Seminar on Neural Network Applications in Electrical Engineering, NEUREL 2002 - Proceedings
First page: 33
Last page: 36
Conference: 6th Seminar on Neural Network Applications in Electrical Engineering, NEUREL 2002; Faculty of Electrical Engineering, University of BelgradeBelgrade, Yugoslavia; Serbia; 26 September 2002 through 28 September 2002
Issue Date: 1-Jan-2002
ISBN: 0-7803-7593-9
DOI: 10.1109/NEUREL.2002.1057962
Abstract: 
Time series prediction is based on reconstruction of unknown, possibly chaotic dynamics using a certain number of delayed values of the time series and realizing the mapping between them and future values. The number of previous values used for reconstruction (usually called the embedding dimension) strongly influences the complexity of the mapping. We have applied structurally adaptive RBF networks to determine the embedding dimension and to realize the desired mapping between the past and future values. The method is tested on reconstruction of Henon maps and Lorenz chaotic attractors.
Keywords: Chaotic dynamics | RBF network | reconstruction | structure adaptation

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