Distinguishing noise from chaos: objective versus subjective criteria using horizontal visibility graph.

A recently proposed methodology called the Horizontal Visibility Graph (HVG) [Luque et al., Phys. Rev. E., 80, 046103 (2009)] that constitutes a geometrical simplification of the well known Visibility Graph algorithm [Lacasa et al., Proc. Natl. Sci. U.S.A. 105, 4972 (2008)], has been used to study t...

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Autores principales:	Martín Gómez Ravetti, Laura C Carpi, Bruna Amin Gonçalves, Alejandro C Frery, Osvaldo A Rosso
Formato:	article
Lenguaje:	EN
Publicado:	Public Library of Science (PLoS) 2014
Materias:	Medicine R Science Q
Acceso en línea:	https://doaj.org/article/f94bdb6f88ae47ffbcfe9df81f5a4115
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spelling	oai:doaj.org-article:f94bdb6f88ae47ffbcfe9df81f5a41152021-11-25T05:59:46ZDistinguishing noise from chaos: objective versus subjective criteria using horizontal visibility graph.1932-620310.1371/journal.pone.0108004https://doaj.org/article/f94bdb6f88ae47ffbcfe9df81f5a41152014-01-01T00:00:00Zhttps://doi.org/10.1371/journal.pone.0108004https://doaj.org/toc/1932-6203A recently proposed methodology called the Horizontal Visibility Graph (HVG) [Luque et al., Phys. Rev. E., 80, 046103 (2009)] that constitutes a geometrical simplification of the well known Visibility Graph algorithm [Lacasa et al., Proc. Natl. Sci. U.S.A. 105, 4972 (2008)], has been used to study the distinction between deterministic and stochastic components in time series [L. Lacasa and R. Toral, Phys. Rev. E., 82, 036120 (2010)]. Specifically, the authors propose that the node degree distribution of these processes follows an exponential functional of the form [Formula: see text], in which [Formula: see text] is the node degree and [Formula: see text] is a positive parameter able to distinguish between deterministic (chaotic) and stochastic (uncorrelated and correlated) dynamics. In this work, we investigate the characteristics of the node degree distributions constructed by using HVG, for time series corresponding to [Formula: see text] chaotic maps, 2 chaotic flows and [Formula: see text] different stochastic processes. We thoroughly study the methodology proposed by Lacasa and Toral finding several cases for which their hypothesis is not valid. We propose a methodology that uses the HVG together with Information Theory quantifiers. An extensive and careful analysis of the node degree distributions obtained by applying HVG allow us to conclude that the Fisher-Shannon information plane is a remarkable tool able to graphically represent the different nature, deterministic or stochastic, of the systems under study.Martín Gómez RavettiLaura C CarpiBruna Amin GonçalvesAlejandro C FreryOsvaldo A RossoPublic Library of Science (PLoS)articleMedicineRScienceQENPLoS ONE, Vol 9, Iss 9, p e108004 (2014)
institution	DOAJ
collection	DOAJ
language	EN
topic	Medicine R Science Q
spellingShingle	Medicine R Science Q Martín Gómez Ravetti Laura C Carpi Bruna Amin Gonçalves Alejandro C Frery Osvaldo A Rosso Distinguishing noise from chaos: objective versus subjective criteria using horizontal visibility graph.
description	A recently proposed methodology called the Horizontal Visibility Graph (HVG) [Luque et al., Phys. Rev. E., 80, 046103 (2009)] that constitutes a geometrical simplification of the well known Visibility Graph algorithm [Lacasa et al., Proc. Natl. Sci. U.S.A. 105, 4972 (2008)], has been used to study the distinction between deterministic and stochastic components in time series [L. Lacasa and R. Toral, Phys. Rev. E., 82, 036120 (2010)]. Specifically, the authors propose that the node degree distribution of these processes follows an exponential functional of the form [Formula: see text], in which [Formula: see text] is the node degree and [Formula: see text] is a positive parameter able to distinguish between deterministic (chaotic) and stochastic (uncorrelated and correlated) dynamics. In this work, we investigate the characteristics of the node degree distributions constructed by using HVG, for time series corresponding to [Formula: see text] chaotic maps, 2 chaotic flows and [Formula: see text] different stochastic processes. We thoroughly study the methodology proposed by Lacasa and Toral finding several cases for which their hypothesis is not valid. We propose a methodology that uses the HVG together with Information Theory quantifiers. An extensive and careful analysis of the node degree distributions obtained by applying HVG allow us to conclude that the Fisher-Shannon information plane is a remarkable tool able to graphically represent the different nature, deterministic or stochastic, of the systems under study.
format	article
author	Martín Gómez Ravetti Laura C Carpi Bruna Amin Gonçalves Alejandro C Frery Osvaldo A Rosso
author_facet	Martín Gómez Ravetti Laura C Carpi Bruna Amin Gonçalves Alejandro C Frery Osvaldo A Rosso
author_sort	Martín Gómez Ravetti
title	Distinguishing noise from chaos: objective versus subjective criteria using horizontal visibility graph.
title_short	Distinguishing noise from chaos: objective versus subjective criteria using horizontal visibility graph.
title_full	Distinguishing noise from chaos: objective versus subjective criteria using horizontal visibility graph.
title_fullStr	Distinguishing noise from chaos: objective versus subjective criteria using horizontal visibility graph.
title_full_unstemmed	Distinguishing noise from chaos: objective versus subjective criteria using horizontal visibility graph.
title_sort	distinguishing noise from chaos: objective versus subjective criteria using horizontal visibility graph.
publisher	Public Library of Science (PLoS)
publishDate	2014
url	https://doaj.org/article/f94bdb6f88ae47ffbcfe9df81f5a4115
work_keys_str_mv	AT martingomezravetti distinguishingnoisefromchaosobjectiveversussubjectivecriteriausinghorizontalvisibilitygraph AT lauraccarpi distinguishingnoisefromchaosobjectiveversussubjectivecriteriausinghorizontalvisibilitygraph AT brunaamingoncalves distinguishingnoisefromchaosobjectiveversussubjectivecriteriausinghorizontalvisibilitygraph AT alejandrocfrery distinguishingnoisefromchaosobjectiveversussubjectivecriteriausinghorizontalvisibilitygraph AT osvaldoarosso distinguishingnoisefromchaosobjectiveversussubjectivecriteriausinghorizontalvisibilitygraph
_version_	1718414319218065408

Distinguishing noise from chaos: objective versus subjective criteria using horizontal visibility graph.

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