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IDENTIFICATION OF EXCITABLE MEDIA USING A SCALAR COUPLED MAP LATTICE MODEL

YUZHU GUO

Department of Automatic Control and Systems Engineering, University of Sheffield, UK

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YIFAN ZHAO

Department of Automatic Control and Systems Engineering, University of Sheffield, UK

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S. A. BILLINGS

Department of Automatic Control and Systems Engineering, University of Sheffield, UK

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DANIEL COCA

Department of Automatic Control and Systems Engineering, University of Sheffield, UK

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R. I. RISTIC

Department of Chemical and Process Engineering, University of Sheffield, UK

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, and

L. L. DEMATOS

Department of Chemical and Process Engineering, University of Sheffield, UK

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https://doi.org/10.1142/S0218127410026976Cited by:10 (Source: Crossref)

Abstract

The identification problem for excitable media is investigated in this paper. A new scalar coupled map lattice (SCML) model is introduced and the orthogonal least squares algorithm is employed to determinate the structure of the SCML model and to estimate the associated parameters. A simulated pattern and a pattern observed directly from a real Belousov–Zhabotinsky reaction are identified. The identified SCML models are shown to possess almost the same local dynamics as the original systems and are able to provide good long term predictions.

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