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arxiv: 1510.06950 · v1 · pith:OW3RMQRTnew · submitted 2015-10-14 · 🌊 nlin.CD

Noise versus chaos in a causal Fisher-Shannon plane

classification 🌊 nlin.CD
keywords chaoticfisher-shannonmathcalplaneachievementanalyzedapproachassign
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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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