English

Noise versus chaos in a causal Fisher-Shannon plane

Chaotic Dynamics 2015-10-26 v1

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 fkf^{-k}, k0k \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.

Keywords

Cite

@article{arxiv.1510.06950,
  title  = {Noise versus chaos in a causal Fisher-Shannon plane},
  author = {Osvaldo A. Rosso and Felipe Olivares and Angelo Plastino},
  journal= {arXiv preprint arXiv:1510.06950},
  year   = {2015}
}

Comments

6 pages, 1 figure. arXiv admin note: text overlap with arXiv:1401.2139