Distinguishing Noise from Chaos: Objective versus Subjective Criteria Using Horizontal Visibility Graph
- Autores
- Gómez Ravetti, Martín; Carpi, Laura C.; Gonçalves, Bruna Amin; Frery, Alejandro César; Rosso, Osvaldo Aníbal
- Año de publicación
- 2014
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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 P(κ)~exp(–λk), in which κ is the node degree and λ 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 28 chaotic maps, 2 chaotic flows and 3 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.
Fil: Gómez Ravetti, Martín. Universidade Federal do Minas Gerais; Brasil. Universidad de Barcelona; España
Fil: Carpi, Laura C.. Universidade Federal de Alagoas; Brasil
Fil: Gonçalves, Bruna Amin. Universidade Federal do Minas Gerais; Brasil
Fil: Frery, Alejandro César. Universidade Federal de Alagoas; Brasil
Fil: Rosso, Osvaldo Aníbal. Universidade Federal de Alagoas; Brasil. Instituto Tecnológico de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina - Materia
-
Horizontal Visibility Graph
Information Theory
Chaos - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/34613
Ver los metadatos del registro completo
id |
CONICETDig_4dd06b433b2dcbb2c3843291c25be226 |
---|---|
oai_identifier_str |
oai:ri.conicet.gov.ar:11336/34613 |
network_acronym_str |
CONICETDig |
repository_id_str |
3498 |
network_name_str |
CONICET Digital (CONICET) |
spelling |
Distinguishing Noise from Chaos: Objective versus Subjective Criteria Using Horizontal Visibility GraphGómez Ravetti, MartínCarpi, Laura C.Gonçalves, Bruna AminFrery, Alejandro CésarRosso, Osvaldo AníbalHorizontal Visibility GraphInformation TheoryChaoshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1A 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 P(κ)~exp(–λk), in which κ is the node degree and λ 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 28 chaotic maps, 2 chaotic flows and 3 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.Fil: Gómez Ravetti, Martín. Universidade Federal do Minas Gerais; Brasil. Universidad de Barcelona; EspañaFil: Carpi, Laura C.. Universidade Federal de Alagoas; BrasilFil: Gonçalves, Bruna Amin. Universidade Federal do Minas Gerais; BrasilFil: Frery, Alejandro César. Universidade Federal de Alagoas; BrasilFil: Rosso, Osvaldo Aníbal. Universidade Federal de Alagoas; Brasil. Instituto Tecnológico de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaPublic Library of Science2014-09info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/34613Gómez Ravetti, Martín; Carpi, Laura C.; Gonçalves, Bruna Amin; Frery, Alejandro César; Rosso, Osvaldo Aníbal; Distinguishing Noise from Chaos: Objective versus Subjective Criteria Using Horizontal Visibility Graph; Public Library of Science; Plos One; 9; 9; 9-2014; 1-37; e1080041932-6203CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1371/journal.pone.0108004info:eu-repo/semantics/altIdentifier/url/http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0108004info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:30:09Zoai:ri.conicet.gov.ar:11336/34613instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 10:30:09.642CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Distinguishing Noise from Chaos: Objective versus Subjective Criteria Using Horizontal Visibility Graph |
title |
Distinguishing Noise from Chaos: Objective versus Subjective Criteria Using Horizontal Visibility Graph |
spellingShingle |
Distinguishing Noise from Chaos: Objective versus Subjective Criteria Using Horizontal Visibility Graph Gómez Ravetti, Martín Horizontal Visibility Graph Information Theory Chaos |
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 |
dc.creator.none.fl_str_mv |
Gómez Ravetti, Martín Carpi, Laura C. Gonçalves, Bruna Amin Frery, Alejandro César Rosso, Osvaldo Aníbal |
author |
Gómez Ravetti, Martín |
author_facet |
Gómez Ravetti, Martín Carpi, Laura C. Gonçalves, Bruna Amin Frery, Alejandro César Rosso, Osvaldo Aníbal |
author_role |
author |
author2 |
Carpi, Laura C. Gonçalves, Bruna Amin Frery, Alejandro César Rosso, Osvaldo Aníbal |
author2_role |
author author author author |
dc.subject.none.fl_str_mv |
Horizontal Visibility Graph Information Theory Chaos |
topic |
Horizontal Visibility Graph Information Theory Chaos |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.3 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
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 P(κ)~exp(–λk), in which κ is the node degree and λ 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 28 chaotic maps, 2 chaotic flows and 3 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. Fil: Gómez Ravetti, Martín. Universidade Federal do Minas Gerais; Brasil. Universidad de Barcelona; España Fil: Carpi, Laura C.. Universidade Federal de Alagoas; Brasil Fil: Gonçalves, Bruna Amin. Universidade Federal do Minas Gerais; Brasil Fil: Frery, Alejandro César. Universidade Federal de Alagoas; Brasil Fil: Rosso, Osvaldo Aníbal. Universidade Federal de Alagoas; Brasil. Instituto Tecnológico de Buenos Aires; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina |
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 P(κ)~exp(–λk), in which κ is the node degree and λ 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 28 chaotic maps, 2 chaotic flows and 3 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. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-09 |
dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion http://purl.org/coar/resource_type/c_6501 info:ar-repo/semantics/articulo |
format |
article |
status_str |
publishedVersion |
dc.identifier.none.fl_str_mv |
http://hdl.handle.net/11336/34613 Gómez Ravetti, Martín; Carpi, Laura C.; Gonçalves, Bruna Amin; Frery, Alejandro César; Rosso, Osvaldo Aníbal; Distinguishing Noise from Chaos: Objective versus Subjective Criteria Using Horizontal Visibility Graph; Public Library of Science; Plos One; 9; 9; 9-2014; 1-37; e108004 1932-6203 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/34613 |
identifier_str_mv |
Gómez Ravetti, Martín; Carpi, Laura C.; Gonçalves, Bruna Amin; Frery, Alejandro César; Rosso, Osvaldo Aníbal; Distinguishing Noise from Chaos: Objective versus Subjective Criteria Using Horizontal Visibility Graph; Public Library of Science; Plos One; 9; 9; 9-2014; 1-37; e108004 1932-6203 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1371/journal.pone.0108004 info:eu-repo/semantics/altIdentifier/url/http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0108004 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Public Library of Science |
publisher.none.fl_str_mv |
Public Library of Science |
dc.source.none.fl_str_mv |
reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
reponame_str |
CONICET Digital (CONICET) |
collection |
CONICET Digital (CONICET) |
instname_str |
Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.name.fl_str_mv |
CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
repository.mail.fl_str_mv |
dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar |
_version_ |
1844614309848547328 |
score |
13.070432 |