Noise versus chaos in a causal Fisher-Shannon plane

preprint2015arXivOpen access

Abstract

We revisit the Fisher-Shannon representation plane H×F{\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−kf^{-k}, k≥0k \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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