On waves and recovering in one-dimensional autonomous CNNs

Traveling waves and recovering in one-dimensional autonomous CNNs are considered. The reaction-diffusion CNN is made of second order cells coupled to each other by linear resistors. Several CNN cells based on piecewise linear resistor are proposed. This is an extension of previous research in this area where a first order cell was considered. Making the cells more complicated, recovering can be observed. This model is more close to the nerve transmission mechanism predicted by the FitzHugh-Nagumo equation and can be used to study this phenomenon.