Edge of chaos in memristor CNN with hysteresis and applications in pattern formation

In this paper we shall study a class of memristor CNN with hysteresis. We shall investigate the dynamics of this model via local activity theory and we shall determine the edge of chaos region in which complex phenomena can be exhibited. Applications of the memristor CNN with hysteresis model in pattern formation will be presented. Nonuniform spatial patterns generation will be derived which is due the memristor polarity, stimulations and initial conditions.