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Pattern Formation and Stability Issues in Coupled Fuzzy Map Lattices

Horia-Nicolai TEODORESCU
Gheorghe Asachi Technical University of Iasi, Institute of Computer Science of the Romanian Academy
11, Carol I, Iasi, Romania 2, Codrescu, 700481, Iasi, Romania

Abstract:

The aim of the paper is to investigate stability issues and mechanisms of pattern formation in coupled map lattices (CMLs) that use fuzzy nodes. The lattices belong to various topologies, including rings with various vicinities, and linear topologies. The use of fuzzy maps instead of deterministic (crisp) maps in coupled map lattices improves the modelling capabilities and enhances the ability to model complex systems, making CMLs particularly useful for applications where we face uncertainty and imprecision. One of the questions we answer relates to the computational requirements for determining that a periodic pattern of period p develops in a CfML.

Keywords:

Nonlinear dynamics, modelling, fuzzy logic, Lyapunov exponent, patterns.

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CITE THIS PAPER AS:
Horia-Nicolai TEODORESCU, Pattern Formation and Stability Issues in Coupled Fuzzy Map Lattices, Studies in Informatics and Control, ISSN 1220-1766, vol. 20 (4), pp. 345-354, 2011.