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IDENTIFICATION OF THE BELOUSOV–ZHABOTINSKII REACTION USING CELLULAR AUTOMATA MODELS

Y. ZHAO

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

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S. A. BILLINGS

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

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, and

ALEXANDER F. ROUTH

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

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https://doi.org/10.1142/S0218127407017999Cited by:17 (Source: Crossref)

Abstract

New methods of identifying the transition rule of a Belousov–Zhabotinskii (BZ) reaction directly from experimental data using cellular automata (CA) models are investigated. The experimental set-up and new techniques for image pre-processing to ensure the identification of representative models are discussed including noise reduction, pixel and color calibration. Two kinds of models, the Greenberg–Hasting model (GHM) and the polynomial CA model are studied in detail. It is shown that the results of identifying a real BZ reacting system are very encouraging and the predicted patterns compare well with the imaged patterns both visually and quantitatively.

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