Design of a cellular nonlinear network for analogue simulation of reaction-diffusion PDEs

In this paper an electronic circuit for the analogue simulation of different finite dimensional approximations of the nonlinear reaction diffusion equation is proposed. The circuit consists of an array of nonlinear cells similar to the Cellular Neural Networks already stated and hardware implementation of each cell is controlled by two independent parameters and uses current mode circuitry. The final purpose of these investigations is to get a better insight on the possibility of analogue simulation of nonlinear evolutive partial differential equations by means of these circuits.