Convergence and periodicity in a discrete-time network of two neurons with self-connections

In this paper, we study a class of difference systems modelling a two-neuron network with feedback and McCulloch-Pitts type activation, which includes the discrete version of the two-neuron model with piecewise constant argument as its special case. We obtain some interesting sufficient conditions insuring the convergence of solutions, as well as the existence of periodic solutions. [Copyright &y& Elsevier]