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.

Categories: nlin.CD

Noise versus chaos in a causal Fisher-Shannon plane