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arXiv · 1510.06950

Noise versus chaos in a causal Fisher-Shannon plane

Osvaldo A. Rosso·Felipe Olivares·Angelo Plastino
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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 $f^{-k}$, $k \geq 0$, 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.

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Osvaldo A. Rosso, Felipe Olivares, Angelo Plastino. 2015-10-14. Noise versus chaos in a causal Fisher-Shannon plane. https://doi.org/10.4279/pip.070006

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