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Cellular neural networks: asymmetric templates and spatial chaos

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  • 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.
    Mathematics Subject Classification: Primary: 34C60, 92B20; Secondary: 37N25.


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