Noise versus chaos in a causal Fisher-Shannon plane

Osvaldo Anibal Rosso; Felipe Olivares; Angelo Plastino

doi:10.4279/pip.070006

Authors

Osvaldo Anibal Rosso Insitituto Tecnológico de Buenos Aires, Av. Eduardo Madero 399, C1106ACD Ciudad Autónoma o de Buenos Aires, Argentina. Instituto de Física, Universidade Federal de Alagoas, Maceió, Alagoas, Brazil.
Felipe Olivares Departamento de Física, Facultad de Ciencias Exactas, Universidad Nacional de La Plata, La Plata, Argentina.
Angelo Plastino Instituto de Fí?sica, IFLP-CCT, Universidad Nacional de La Plata, La Plata, Argentina.

DOI:

https://doi.org/10.4279/pip.070006

Keywords:

Fisher-Shannon representation, Chaotic maps

Abstract

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 atime series. Several stochastic dynamical (noises with $$f^{-k}$$,$$k \geq 0$$, 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)

This paper, by Osvaldo A. Rosso, Felipe Olivares, Angelo Plastino, is licensed under the Creative Commons Attribution License 3.0.