Noise versus chaos in a causal Fisher-Shannon plane

Abstract

We revisit the Fisher-Shannon representation plane H × F, evaluated using the Bandt and Pompe recipe to assign a probability distribution to a time series. Several stochastic dynamical (noises with f −k , k ≥ 0, power spectrum) and chaotic processes (27 chaotic maps) are analyzed so as to illustrate the approach. Our main achievement is uncovering the informational properties of the planar location.