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Cellular neural networks: asymmetric templates and spatial chaos

Pages: 864 - 871, Issue Special, July 2003

 Abstract        Full Text (187.0K)              

Larry Turyn - Department of Mathematics and Statistics, Wright State University Dayton,, OH 45435, United States (email)

Abstract: 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.

Keywords:  CNN, neural, spatial chaos, asymmetry, mosaic, patterns.
Mathematics Subject Classification:  Primary: 34C60, 92B20; Secondary: 37N25.

Received: June 2002;      Revised: April 2003;      Published: April 2003.