Identification and analysis of spatio-temporal dynamical systems using wavelets

Abstract

In this article, the identification and analysis of spatio-temporal dynamical systems is presented. An approximated B-spline wavelet representation of spatio-temporal dynamical systems is identified using an orthogonal least-squares algorithm from measured data. Control variables are incorporated to represent controlled external inputs and/or some system parameters for the purpose of analysis. The identified system models can be used to evaluate how the external inputs or system parameters affect the evolution of the spatio-temporal dynamics and pattern formation. Two examples are used to illustrate the proposed approach.

Keywords:

• System identification
• Spatio-temporal systems
• Wavelets

Acknowledgement

The authors gratefully acknowledge financial support from EPSRC (UK).