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Cellular neural networks: asymmetric templates and spatial chaos
We consider a Cellular Neural Network (CNN), with a bias term, on
the integer lattice $Z^2$ in the plane $R^2$. A space-dependent, asymmetric coupling
(template) appropriate for CNN on the hexagonal lattice on $R^2$ is studied. We characterize the mosaic patterns and study their spatial entropy. Asymmetry of the template has a decisive effect on spatial entropy for all known results.