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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

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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.

Item Type: Monograph (Research Report)
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.
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) > ACSE Research Reports
Depositing User: Miss Anthea Tucker
Date Deposited: 21 Sep 2012 12:38
Last Modified: 08 Feb 2013 17:39
Status: Published
Publisher: Automatic Control and Systems Engineering, University of Sheffield
URI: http://eprints.whiterose.ac.uk/id/eprint/74498

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