Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency

Autores
Elaskar, Sergio Amado; del Río, Ezequiel
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The traditional theory of chaotic intermittency developed for return maps hypothesizes a uniform density of reinjected points from the chaotic zone to the laminar one. In the past few years, we have described how the reinjection probability density function (RPD) can be generalized as a power law function. Here, we introduce a broad and general analytical approach to determine the RPD function and other statistical variables, such as the characteristic relation traditionally utilized to characterize thechaotic intermittency type. The proposed theoretical methodology is simple to implement and includes previous studies as particular cases. It is compared with numerical data, the M function methodology, and the Perron–Frobenius technique, showing high accuracy between them.
Fil: Elaskar, Sergio Amado. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Estudios Avanzados en Ingeniería y Tecnología. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Instituto de Estudios Avanzados en Ingeniería y Tecnología; Argentina
Fil: del Río, Ezequiel. Universidad Politécnica de Madrid; España
Materia
chaotic intermittency
maps
reinjection probability density function
continued fractions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/275297
Acceder
id CONICETDig_d3827374af4885530013d68ca8a1ab39
oai_identifier_str oai:ri.conicet.gov.ar:11336/275297
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic IntermittencyElaskar, Sergio Amadodel Río, Ezequielchaotic intermittencymapsreinjection probability density functioncontinued fractionshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The traditional theory of chaotic intermittency developed for return maps hypothesizes a uniform density of reinjected points from the chaotic zone to the laminar one. In the past few years, we have described how the reinjection probability density function (RPD) can be generalized as a power law function. Here, we introduce a broad and general analytical approach to determine the RPD function and other statistical variables, such as the characteristic relation traditionally utilized to characterize thechaotic intermittency type. The proposed theoretical methodology is simple to implement and includes previous studies as particular cases. It is compared with numerical data, the M function methodology, and the Perron–Frobenius technique, showing high accuracy between them.Fil: Elaskar, Sergio Amado. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Estudios Avanzados en Ingeniería y Tecnología. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Instituto de Estudios Avanzados en Ingeniería y Tecnología; ArgentinaFil: del Río, Ezequiel. Universidad Politécnica de Madrid; EspañaMDPI2023-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/275297Elaskar, Sergio Amado; del Río, Ezequiel; Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency; MDPI; Symmetry; 15; 8; 8-2023; 1-222073-8994CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2073-8994/15/8/1591info:eu-repo/semantics/altIdentifier/doi/10.3390/sym15081591info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-12-23T14:34:26Zoai:ri.conicet.gov.ar:11336/275297instacron: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:34982025-12-23 14:34:27.022CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency
title Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency
spellingShingle Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency
Elaskar, Sergio Amado
chaotic intermittency
maps
reinjection probability density function
continued fractions
title_short Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency
title_full Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency
title_fullStr Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency
title_full_unstemmed Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency
title_sort Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency
dc.creator.none.fl_str_mv Elaskar, Sergio Amado
del Río, Ezequiel
author Elaskar, Sergio Amado
author_facet Elaskar, Sergio Amado
del Río, Ezequiel
author_role author
author2 del Río, Ezequiel
author2_role author
dc.subject.none.fl_str_mv chaotic intermittency
maps
reinjection probability density function
continued fractions
topic chaotic intermittency
maps
reinjection probability density function
continued fractions
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The traditional theory of chaotic intermittency developed for return maps hypothesizes a uniform density of reinjected points from the chaotic zone to the laminar one. In the past few years, we have described how the reinjection probability density function (RPD) can be generalized as a power law function. Here, we introduce a broad and general analytical approach to determine the RPD function and other statistical variables, such as the characteristic relation traditionally utilized to characterize thechaotic intermittency type. The proposed theoretical methodology is simple to implement and includes previous studies as particular cases. It is compared with numerical data, the M function methodology, and the Perron–Frobenius technique, showing high accuracy between them.
Fil: Elaskar, Sergio Amado. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Estudios Avanzados en Ingeniería y Tecnología. Universidad Nacional de Córdoba. Facultad de Ciencias Exactas Físicas y Naturales. Instituto de Estudios Avanzados en Ingeniería y Tecnología; Argentina
Fil: del Río, Ezequiel. Universidad Politécnica de Madrid; España
description The traditional theory of chaotic intermittency developed for return maps hypothesizes a uniform density of reinjected points from the chaotic zone to the laminar one. In the past few years, we have described how the reinjection probability density function (RPD) can be generalized as a power law function. Here, we introduce a broad and general analytical approach to determine the RPD function and other statistical variables, such as the characteristic relation traditionally utilized to characterize thechaotic intermittency type. The proposed theoretical methodology is simple to implement and includes previous studies as particular cases. It is compared with numerical data, the M function methodology, and the Perron–Frobenius technique, showing high accuracy between them.
publishDate 2023
dc.date.none.fl_str_mv 2023-08
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/11336/275297
Elaskar, Sergio Amado; del Río, Ezequiel; Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency; MDPI; Symmetry; 15; 8; 8-2023; 1-22
2073-8994
CONICET Digital
CONICET
url http://hdl.handle.net/11336/275297
identifier_str_mv Elaskar, Sergio Amado; del Río, Ezequiel; Theoretical Evaluation of the Reinjection Probability Density Function in Chaotic Intermittency; MDPI; Symmetry; 15; 8; 8-2023; 1-22
2073-8994
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2073-8994/15/8/1591
info:eu-repo/semantics/altIdentifier/doi/10.3390/sym15081591
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 MDPI
publisher.none.fl_str_mv MDPI
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_ 1852335730623250432
score 12.441415

Publicaciones similares