Formation of vertical dislocation patterns in one-dimensional computational verb cellular networks

Computational verb cellular networks (CVCNs) are a new kind of cellular computational platform where the local rules are computational verb rules. In this paper, the mechanism of forming vertical dislocation patterns in one-dimensional CVCN is studied mathematically. The computational verb local rules (verb local rules, for short) of vertical dislocation pattern are constructed based on the decomposition of the global evolving pattern. Based on the verb local rules, mathematical equations are constructed to define the solutions of 1D CVCN. The solution is calculated numerically using Matlab to verify the usefulness of the theoretical predictions.