Characterization of chaotic maps using the permutation Bandt-Pompe probability distribution

Autores
Rosso, Osvaldo Aníbal; Olivares, Felip; Zunino, Luciano José; De Micco, Luciana; Aquino, Andre L. L.; Plastino, Ángel Luis; Larrondo, Hilda A.
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
By appealing to a long list of different nonlinear maps we review the characterization of time series arising from chaotic maps. The main tool for this characterization is the permutation Bandt-Pompe probability distribution function. We focus attention on both local and global characteristics of the components of this probability distribution function. We show that forbidden ordinal patterns (local quantifiers) exhibit an exponential growth for pattern-length range 3 ≤ D ≤ 8, in the case of finite time series data. Indeed, there is a minimum D; min-value such that forbidden patterns cannot appear for D < Dmin. The system’s localization in an entropy-complexity plane (global quantifier) displays typical specific features associated with its dynamics’ nature. We conclude that a more “robust” distinction between deterministic and stochastic dynamics is achieved via the present time series’ treatment based on the global characteristics of the permutation Bandt-Pompe probability distribution function.
Facultad de Ciencias Exactas
Centro de Investigaciones Ópticas
Facultad de Ingeniería
Instituto de Física La Plata
Materia
Física
Statistical and Nonlinear Physics
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/144602

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network_name_str SEDICI (UNLP)
spelling Characterization of chaotic maps using the permutation Bandt-Pompe probability distributionRosso, Osvaldo AníbalOlivares, FelipZunino, Luciano JoséDe Micco, LucianaAquino, Andre L. L.Plastino, Ángel LuisLarrondo, Hilda A.FísicaStatistical and Nonlinear PhysicsBy appealing to a long list of different nonlinear maps we review the characterization of time series arising from chaotic maps. The main tool for this characterization is the permutation Bandt-Pompe probability distribution function. We focus attention on both local and global characteristics of the components of this probability distribution function. We show that forbidden ordinal patterns (local quantifiers) exhibit an exponential growth for pattern-length range 3 ≤ D ≤ 8, in the case of finite time series data. Indeed, there is a minimum D; min-value such that forbidden patterns cannot appear for D < Dmin. The system’s localization in an entropy-complexity plane (global quantifier) displays typical specific features associated with its dynamics’ nature. We conclude that a more “robust” distinction between deterministic and stochastic dynamics is achieved via the present time series’ treatment based on the global characteristics of the permutation Bandt-Pompe probability distribution function.Facultad de Ciencias ExactasCentro de Investigaciones ÓpticasFacultad de IngenieríaInstituto de Física La Plata2013-03-27info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/144602enginfo:eu-repo/semantics/altIdentifier/issn/1434-6028info:eu-repo/semantics/altIdentifier/issn/1434-6036info:eu-repo/semantics/altIdentifier/doi/10.1140/epjb/e2013-30764-5info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:32:31Zoai:sedici.unlp.edu.ar:10915/144602Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:32:32.006SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Characterization of chaotic maps using the permutation Bandt-Pompe probability distribution
title Characterization of chaotic maps using the permutation Bandt-Pompe probability distribution
spellingShingle Characterization of chaotic maps using the permutation Bandt-Pompe probability distribution
Rosso, Osvaldo Aníbal
Física
Statistical and Nonlinear Physics
title_short Characterization of chaotic maps using the permutation Bandt-Pompe probability distribution
title_full Characterization of chaotic maps using the permutation Bandt-Pompe probability distribution
title_fullStr Characterization of chaotic maps using the permutation Bandt-Pompe probability distribution
title_full_unstemmed Characterization of chaotic maps using the permutation Bandt-Pompe probability distribution
title_sort Characterization of chaotic maps using the permutation Bandt-Pompe probability distribution
dc.creator.none.fl_str_mv Rosso, Osvaldo Aníbal
Olivares, Felip
Zunino, Luciano José
De Micco, Luciana
Aquino, Andre L. L.
Plastino, Ángel Luis
Larrondo, Hilda A.
author Rosso, Osvaldo Aníbal
author_facet Rosso, Osvaldo Aníbal
Olivares, Felip
Zunino, Luciano José
De Micco, Luciana
Aquino, Andre L. L.
Plastino, Ángel Luis
Larrondo, Hilda A.
author_role author
author2 Olivares, Felip
Zunino, Luciano José
De Micco, Luciana
Aquino, Andre L. L.
Plastino, Ángel Luis
Larrondo, Hilda A.
author2_role author
author
author
author
author
author
dc.subject.none.fl_str_mv Física
Statistical and Nonlinear Physics
topic Física
Statistical and Nonlinear Physics
dc.description.none.fl_txt_mv By appealing to a long list of different nonlinear maps we review the characterization of time series arising from chaotic maps. The main tool for this characterization is the permutation Bandt-Pompe probability distribution function. We focus attention on both local and global characteristics of the components of this probability distribution function. We show that forbidden ordinal patterns (local quantifiers) exhibit an exponential growth for pattern-length range 3 ≤ D ≤ 8, in the case of finite time series data. Indeed, there is a minimum D; min-value such that forbidden patterns cannot appear for D < Dmin. The system’s localization in an entropy-complexity plane (global quantifier) displays typical specific features associated with its dynamics’ nature. We conclude that a more “robust” distinction between deterministic and stochastic dynamics is achieved via the present time series’ treatment based on the global characteristics of the permutation Bandt-Pompe probability distribution function.
Facultad de Ciencias Exactas
Centro de Investigaciones Ópticas
Facultad de Ingeniería
Instituto de Física La Plata
description By appealing to a long list of different nonlinear maps we review the characterization of time series arising from chaotic maps. The main tool for this characterization is the permutation Bandt-Pompe probability distribution function. We focus attention on both local and global characteristics of the components of this probability distribution function. We show that forbidden ordinal patterns (local quantifiers) exhibit an exponential growth for pattern-length range 3 ≤ D ≤ 8, in the case of finite time series data. Indeed, there is a minimum D; min-value such that forbidden patterns cannot appear for D < Dmin. The system’s localization in an entropy-complexity plane (global quantifier) displays typical specific features associated with its dynamics’ nature. We conclude that a more “robust” distinction between deterministic and stochastic dynamics is achieved via the present time series’ treatment based on the global characteristics of the permutation Bandt-Pompe probability distribution function.
publishDate 2013
dc.date.none.fl_str_mv 2013-03-27
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/144602
url http://sedici.unlp.edu.ar/handle/10915/144602
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1434-6028
info:eu-repo/semantics/altIdentifier/issn/1434-6036
info:eu-repo/semantics/altIdentifier/doi/10.1140/epjb/e2013-30764-5
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
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repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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