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Pattern Formation and Stability Issues in Coupled Fuzzy Map Lattices

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.

Pattern Formation and Stability Issues in Coupled Fuzzy Map Lattices.

Studies in Informatics and Control

Volum 20 | Număr 4 | Publicat la 01/12/2011 | ISSN  1220-1766 | eISSN  1841-429X

Autori:
Horia-Nicolai TEODORESCU [1]
[1] Gh. Asachi Technical University Iaşi, Romania
Rezumat

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.

Cuvinte cheie:
nonlinear dynamics, modelling, fuzzy logic, Lyapunov exponent, patterns

Bibliografie

Parallelizing Neuro-fuzzy Economic Models in a GRID Environment - TEODORESCU H. M., M. D. ZBANCIOC, L. PISTOL - , Studies in Informatics and Control , 2008



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