Browsing by Author "Turyn, L"

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Cellular neural networks: Space-dependent template, mosaic patterns and spatial chaos
(2002-08-01)
Juang, J
;
Shieh, SF
;
Turyn, L
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應用數學系
;
Department of Applied Mathematics
We consider a Cellular Neural Network (CNN) with a bias term in the integer lattice Z(2) on the plane Z(2). We impose a space-dependent coupling (template) appropriate for CNN in the hexagonal lattice on Z(2). Stable mosaic patterns of such CNN are completely characterized. The spatial entropy of a (p(1), p(2))-translation invariant set is proved to be well-defined and exists. Using such a theorem, we are also able to address the complexities of resulting mosaic patterns.