Existence of grid pattern solutions of one-dimensional computational verb cellular networks

Abstract

Computational verb cellular networks (CVCNs) represent a new platform of cellular computation. In a CVCN, local rules are computational verb rules. In this paper, the theoretical study of conditions, under which a kind of grid pattern solution forms in ID CVCN, is performed. Based on the theorems of previous works, the constraints of parameters of ID CVCNs for generating the pattern solution are constructed. Numerical experimental results verify the usefulness of the theoretical predictions.