Identification of coupled map lattice models for spatio-temporal patterns using wavelets

Authors:
S. A. Billings;L. Z. Guo;H. L. Wei
Affiliations:
Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK;Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK;Department of Automatic Control and Systems Engineering, University of Sheffield, Sheffield, UK
Venue:
International Journal of Systems Science
Year:
2006

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Abstract

This paper introduces a new approach for the identification of coupled map lattice models of complex spatio-temporal patterns from measured data. The nonlinear functionals describing the evolution of the spatio-temporal patterns are constructed using B-spline wavelet and scaling functions. This provides a multiresolution approximation for the underlying spatio-temporal dynamics. An orthogonal least squares algorithm is used to determine the suitable terms from wavelet functions to form an accurate representation of the nonlinear spatio-temporal dynamics. Three examples are used to demonstrate the application of the proposed new approach.