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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