Noise versus chaos in a causal Fisher-Shannon plane

Abstract

We revisit the Fisher-Shannon representation plane HxF, evaluated using the Bandt and Pompe recipe to assign a probability distribution to atime series. Several stochastic dynamical (noises with f^-k,k>0, power spectrum) and chaotic processes (27 chaoticmaps) are analyzed so as to illustrate the approach. Our mainachievement is uncovering the informational properties of theplanar location. Received: 20 Novembre 2014, Accepted: 1 April 2015; Edited by: C. A. Condat, G. J. Sibona; DOI:http://dx.doi.org/10.4279/PIP.070006 Cite as: O A Rosso, F Olivares, A Plastino, Papers in Physics 7, 070006 (2015)

Keywords

• Fisher-Shannon representation
• Chaotic maps