Memristive Cellular Nonlinear Network Model with Hysteresis Switch in the Feedback System

In this paper we study a new memristive cellular nonlinear network model (MHCNN) with a hysteresis switch in the feedback system. The mathematical model for the dynamical system consists of a system of differential equations coupled with hysteresis operators. We study the dynamics of the proposed model by dividing the
$\boldsymbol{M}\times \boldsymbol{M}$
Euclidean space into different types of regions. An example of two-cell MHCNN is studied. The generation of patterns in the proposed MHCNN model is presented with applications to associative memories. The simulations show the advantages of the proposed MHCNN model in comparison to other known memristive cellular nonlinear network models.