Noise versus chaos in a causal Fisher-Shannon plane

Abstract

We revisit the Fisher-Shannon representation plane $\mathcal{H}\times \mathcal{F}$, evaluated using the Bandt and Pompe recipe to assign a probability distribution to a time series. Several stochastic dynamical (noises with $f^{-k}$, $k\ge 0$, 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.

6 pages, 1 figure. arXiv admin note: text overlap with arXiv:1401.2139

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