Dynamic properties of cellular neural networks with nonlinear output function

Cellular neural networks are a novel class of information-processing systems which have architecture similar to neural networks. In this short paper, we consider a nonlinear cellular neural network where the nonlinearity in the feedback circuit is allowed to exhibit hysteresis. Stability analysis of the equilibrium points for such a network is made. Hopf-like bifurcations are proved for an example of a two-cell autonomous cellular neural network.