MAXIMUM PERIOD OF 2-DIMENSIONAL UNIFORM NEURAL NETWORKS

The maximum periods of transitions of 2-dimensional uniform neural networks with Neumann neighbors are investigated. As for excitatory neural networks, the maximum period is finite in case that the refractory period is 1 or 3, but the refractory periods realizing unbounded period of transitions range from 2 to infinity which are different from the case of 1-dimensional networks. Results are obtained by constructing periodic configurations directly. © 1979 Academic Press, Inc.