Complex behavior of polynomial FitzHugh–Nagumo cellular neural network model

In this paper, a cellular neural network (CNN) model of FitzHugh–Nagumo system with two diffusion coefficients is introduced. The dynamical behavior of the polynomial CNN model is investigated using harmonic balance method. Local activity domain and edge of chaos domain of the parameter space were found for the model. Numerical simulations of the CNN dynamics confirm the so-called edge of chaos phenomena and help in the better understanding of genesis and emergence of complexity in FitzHugh–Nagumo system.