Intermittency reinjection in the logistic map

Autores
Elaskar, Sergio Amado; del Río, Ezequiel; Elaskar, Silvina Azul
Año de publicación
2022
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Just below a Period-3 window, the logistic map exhibits intermittency. Then, the third iterate of this map has been widely used to explain the chaotic intermittency concept. Much attention has been paid to describing the behavior around the vanished fixed points, the tangent bifurcation, and the formation of the characteristic channel between the map and the diagonal for type-I intermittency. However, the reinjection mechanism has not been deeply analyzed. In this paper, we studied the reinjection processes for the three fixed points around which intermittency is generated. We calculated the reinjection probability density function, the probability density of the laminar lengths, and the characteristic relation. We found that the reinjection mechanisms have broader behavior than the usually used uniform reinjection. Furthermore, the reinjection processes depend on the fixed point.
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. Escuela Tecnica Superior de Ingenieros Aeronauticos; España. Universidad Politécnica de Madrid; España
Fil: Elaskar, Silvina Azul. Universidad Nacional de Córdoba. Facultad de Ciencias Químicas; Argentina
Materia
CHAOTIC INTERMITTENCY
LOGISTIC MAP
REINJECTION MECHANISMS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/207996
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Intermittency reinjection in the logistic mapElaskar, Sergio Amadodel Río, EzequielElaskar, Silvina AzulCHAOTIC INTERMITTENCYLOGISTIC MAPREINJECTION MECHANISMShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Just below a Period-3 window, the logistic map exhibits intermittency. Then, the third iterate of this map has been widely used to explain the chaotic intermittency concept. Much attention has been paid to describing the behavior around the vanished fixed points, the tangent bifurcation, and the formation of the characteristic channel between the map and the diagonal for type-I intermittency. However, the reinjection mechanism has not been deeply analyzed. In this paper, we studied the reinjection processes for the three fixed points around which intermittency is generated. We calculated the reinjection probability density function, the probability density of the laminar lengths, and the characteristic relation. We found that the reinjection mechanisms have broader behavior than the usually used uniform reinjection. Furthermore, the reinjection processes depend on the fixed point.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. Escuela Tecnica Superior de Ingenieros Aeronauticos; España. Universidad Politécnica de Madrid; EspañaFil: Elaskar, Silvina Azul. Universidad Nacional de Córdoba. Facultad de Ciencias Químicas; ArgentinaMDPI2022-02-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/207996Elaskar, Sergio Amado; del Río, Ezequiel; Elaskar, Silvina Azul; Intermittency reinjection in the logistic map; MDPI; Symmetry; 14; 3; 26-2-2022; 1-192073-8994CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2073-8994/14/3/481info:eu-repo/semantics/altIdentifier/doi/10.3390/sym14030481info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T10:24:10Zoai:ri.conicet.gov.ar:11336/207996instacron: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 10:24:10.542CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Intermittency reinjection in the logistic map
title Intermittency reinjection in the logistic map
spellingShingle Intermittency reinjection in the logistic map
Elaskar, Sergio Amado
CHAOTIC INTERMITTENCY
LOGISTIC MAP
REINJECTION MECHANISMS
title_short Intermittency reinjection in the logistic map
title_full Intermittency reinjection in the logistic map
title_fullStr Intermittency reinjection in the logistic map
title_full_unstemmed Intermittency reinjection in the logistic map
title_sort Intermittency reinjection in the logistic map
dc.creator.none.fl_str_mv Elaskar, Sergio Amado
del Río, Ezequiel
Elaskar, Silvina Azul
author Elaskar, Sergio Amado
author_facet Elaskar, Sergio Amado
del Río, Ezequiel
Elaskar, Silvina Azul
author_role author
author2 del Río, Ezequiel
Elaskar, Silvina Azul
author2_role author
author
dc.subject.none.fl_str_mv CHAOTIC INTERMITTENCY
LOGISTIC MAP
REINJECTION MECHANISMS
topic CHAOTIC INTERMITTENCY
LOGISTIC MAP
REINJECTION MECHANISMS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Just below a Period-3 window, the logistic map exhibits intermittency. Then, the third iterate of this map has been widely used to explain the chaotic intermittency concept. Much attention has been paid to describing the behavior around the vanished fixed points, the tangent bifurcation, and the formation of the characteristic channel between the map and the diagonal for type-I intermittency. However, the reinjection mechanism has not been deeply analyzed. In this paper, we studied the reinjection processes for the three fixed points around which intermittency is generated. We calculated the reinjection probability density function, the probability density of the laminar lengths, and the characteristic relation. We found that the reinjection mechanisms have broader behavior than the usually used uniform reinjection. Furthermore, the reinjection processes depend on the fixed point.
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. Escuela Tecnica Superior de Ingenieros Aeronauticos; España. Universidad Politécnica de Madrid; España
Fil: Elaskar, Silvina Azul. Universidad Nacional de Córdoba. Facultad de Ciencias Químicas; Argentina
description Just below a Period-3 window, the logistic map exhibits intermittency. Then, the third iterate of this map has been widely used to explain the chaotic intermittency concept. Much attention has been paid to describing the behavior around the vanished fixed points, the tangent bifurcation, and the formation of the characteristic channel between the map and the diagonal for type-I intermittency. However, the reinjection mechanism has not been deeply analyzed. In this paper, we studied the reinjection processes for the three fixed points around which intermittency is generated. We calculated the reinjection probability density function, the probability density of the laminar lengths, and the characteristic relation. We found that the reinjection mechanisms have broader behavior than the usually used uniform reinjection. Furthermore, the reinjection processes depend on the fixed point.
publishDate 2022
dc.date.none.fl_str_mv 2022-02-26
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/11336/207996
Elaskar, Sergio Amado; del Río, Ezequiel; Elaskar, Silvina Azul; Intermittency reinjection in the logistic map; MDPI; Symmetry; 14; 3; 26-2-2022; 1-19
2073-8994
CONICET Digital
CONICET
url http://hdl.handle.net/11336/207996
identifier_str_mv Elaskar, Sergio Amado; del Río, Ezequiel; Elaskar, Silvina Azul; Intermittency reinjection in the logistic map; MDPI; Symmetry; 14; 3; 26-2-2022; 1-19
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/2073-8994/14/3/481
info:eu-repo/semantics/altIdentifier/doi/10.3390/sym14030481
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/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
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score 13.070432

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