Noise versus chaos in a causal Fisher-Shannon plane

  • 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.
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.