Cellular neural network

A Cellular Neural Network (CNN), also known as Cellular Nonlinear Network, is an array of dynamical systems (cells) or coupled networks with local connections only. Cells can be arranged in several configurations; however, the most popular is the two-dimensional CNNs organized in an eight-neighbor rectangular grid. Each cell has an input, a state, and an output, and it interacts directly only with the cells within its radius of neighborhood r: when r = 1, which is a common assumption, the neighborhood includes the cell itself and its eight nearest neighboring cells (see Fig. 1). In general, the state of each cell, and hence its output, depends only on the input and the output of its neighbor cells, and the initial state of the network. By varying the values of the connections among cells (i.e., its interaction weights), a CNN can present a large number of dynamics, as proven by Gilli et al. (2002).