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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/144602
Ver los metadatos del registro completo
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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) |
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openAccess |
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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 |
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Universidad Nacional de La Plata |
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SEDICI (UNLP) - Universidad Nacional de La Plata |
repository.mail.fl_str_mv |
alira@sedici.unlp.edu.ar |
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