Strange nonchaotic attractor in a dynamical system under periodic forcing

Abstract

We observe the occurrence of a strange nonchaotic attractor in a periodically driven two-dimensional map, formerly proposed as a neuron model and a sequence generator. We characterize this attractor through the study of the Lyapunov exponents, fractal dimension, autocorrelation function and power spectrum. The strange nonchaotic attractor in this model is a typical behavior, occupying a finite range of the parameter space.