Memristor dynamics involved in cells communication for a 2D non-linear network

In this study, the authors consider a first step to apply memristor devices in a cellular non-linear network (CNN), where the advantages of the non-linearity, nanoscalability and memory effect could be taken into account to implement a 2D-CNN for signal and image processing - Memristors are used in the coupling mode to connect adjacent cells serially. They drive the analytical model describing the transmission of information from one cell to another via memristor, whose description in the phi-q plane is given, then improved to overcome the problem of discontinuities for some values of the charge q(t). The modified model is then chosen to be continued for all initial conditions and all parameters sets. Moreover, numerical simulations from SPICE and MATLAB software confirm the authors' analytical predictions.