Strange Nonchaotic Attractors with Cellular Neural Networks

Abstract

In this paper, we investigate the existence of strange nonchaotic attractors in a nonautonomous cellular neural network (CNN). The network consists of two cells, each cell being driven by a sinusoidal input and the frequencies of two inputs being incommensurate. Numerical analyses based on Lyapunov exponent, Poincare map, double Poincare map, Fourier amplitude spectrum, and information dimension show the existence of strange nonchaotic attractors in a substantial parameter space. It appears that the CNN is the first dynamical system with separate excitations having the strange nonchaotic attractors.