An approach to information propagation in 1-D cellular neural networks. II. Global propagation

For pt.I see P. Thiran et al., ibid., vol.45, no.8, pp.777-89 (1998). This second of two papers studies how and when a global propagation of information, introduced as initial condition, is possible through a one-dimensional (1-D) Cellular Neural Network (CNN) with connections between nearest neighbors only. We will focus on circular arrays, which have the most regular structure, we will show that periodic solutions exist, and we will compute one of them analytically. We will also study their stability.