Identification of coupled map lattice models of stochastic spation-temporal dynamics using wavelets
Gui, L.Z. and Billings, S.A.
(2004)
Identification of coupled map lattice models of stochastic spation-temporal dynamics using wavelets.
Research Report.
ACSE Research Report no. 851
.
Automatic Control and Systems Engineering, University of Sheffield
Abstract
This paper introduces a new approach for the local reconstruction of coupled map lattice (CML) models of stochastic spatio-temporal dynamics 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 multi-resolution approximation for the underlying spatio-temporal dynamics. An orthogonal least squares algorithm is used to determine significant terms from wavelet functions to form an accurate representation of the non-linear spatio-temporal dynamics. Two examples are used to demonstrate the application of the proposed new approach.
Metadata
Item Type:
Monograph
Authors/Creators:
Gui, L.Z.
Billings, S.A.
Copyright, Publisher and Additional Information:
The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances.
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