On the design of second order dynamics reaction-diffusion CNNs

In this paper, a second order reaction-diffusion equation has been identifi ed which is able to reproduce through parameter setting a rich variety of s patio-temporal behaviors. It has been shown that these behaviors are robust against wide random variations in the equation parameters. We have designe d a hardware that implements the log-domain version of the selected reactio n-diffusion equation. The logarithmic compression of the state variables al lows several decades of variation of these state variables without saturati on. Furthermore, as all the equation parameters are implemented as currents , they can be adjusted several decades. The correct operation of the hardwa re has been verified through HSPICE simulations.