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

Abstract

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 ϕ-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.

Memristor − the fourth fundamental passive electronic component and its memory interpretation

“…Figure 5 shows that for fixed input amplitude and frequency, the value of initial memristance affects the I-V characteristic of the device. Figure 6 shows a simple schematic with two identical RC cells coupled together by a memristor [13].…”

Comparison of the Performance of the Memristor Models in 2D Cellular Nonlinear Network

“…This causes a hinderance on the study of our system dynamics presented in Section 4. We propose then a new memristor model allowing to perform the analytical study of the system dynamics [55]: 6) and (15). R on = 1 KΩ, R o f f = 16 KΩ, and q d = 100 µC.…”

“…Equation ( 31) is a second order nonlinear differential equation characterizing the dynamics of the charge q(t) flowing from Cell-1 to Cell-2 through memristor. Indeed, Equation (31) is similar to the one in Reference [54] where one approach for its phase plane analysis is presented in Reference [55], including the case where q(t) ≤ 0 and q(t) ≥ q d . However, in the following and depending on the initial conditions, we highlight some others possible analytical interpretations.…”

“…Then, follow by the details interaction of the memristor within the cells with respect to the charge q(t) flowing from one cell to the other one. In recent studies [54,55], the system was described analytically but here emphasize on its circuit point of view giving the dynamics and the steady state response. The circuit responses are compared using three different models of memristor, including a new one which happens to be suitable in the study of our system dynamics owing to its continuity for any flowing charge through the memristor.…”

Stochastic Memristive Interface for Neural Signal Processing

“…In particular, not only dynamical were effects simulated, but also the simplest learning rules were implemented [45][46][47][48][49][50][51][52]. Currently, technologies are being developed to improve the characteristics of memristive devices in order to create reliable memristive networks capable of solving some mathematical tasks [53], classifying images [54][55][56][57][58], etc. [59][60][61].…”