Calculation of the statistical properties in intermittency using the natural invariant density

Autores
Elaskar, Sergio Amado; del Río, Ezequiel; Lorenzon, Denis
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We use the natural invariant density of the map and the Perron–Frobenius operator to analytically evaluate the statistical properties for chaotic intermittency. This study can be understood as an improvement of the previous ones because it does not introduce assumptions about the reinjection probability density function in the laminar interval or the map density at pre-reinjection points. To validate the new theoretical equations, we study a symmetric map and a non-symmetric one. The cusp map has symmetry about x = 0, but the Manneville map has no symmetry. We carry out several comparisons between the theoretical equations here presented, the M function methodology, the classical theory of intermittency, and numerical data. The new theoretical equations show more accuracy than those calculated with other techniques.
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
Fil: Lorenzon, Denis. 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
Materia
CHAOTIC INTERMITTENCY
INVARIANT DENSITY
MAPS
REINJECTION PROBABILITY DENSITY FUNCTION
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:11336/150769
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Calculation of the statistical properties in intermittency using the natural invariant densityElaskar, Sergio Amadodel Río, EzequielLorenzon, DenisCHAOTIC INTERMITTENCYINVARIANT DENSITYMAPSREINJECTION PROBABILITY DENSITY FUNCTIONhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We use the natural invariant density of the map and the Perron–Frobenius operator to analytically evaluate the statistical properties for chaotic intermittency. This study can be understood as an improvement of the previous ones because it does not introduce assumptions about the reinjection probability density function in the laminar interval or the map density at pre-reinjection points. To validate the new theoretical equations, we study a symmetric map and a non-symmetric one. The cusp map has symmetry about x = 0, but the Manneville map has no symmetry. We carry out several comparisons between the theoretical equations here presented, the M function methodology, the classical theory of intermittency, and numerical data. The new theoretical equations show more accuracy than those calculated with other techniques.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; EspañaFil: Lorenzon, Denis. 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; ArgentinaMultidisciplinary Digital Publishing Institute2021-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/150769Elaskar, Sergio Amado; del Río, Ezequiel; Lorenzon, Denis; Calculation of the statistical properties in intermittency using the natural invariant density; Multidisciplinary Digital Publishing Institute; Symmetry; 13; 6; 6-2021; 1-182073-8994CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.mdpi.com/2073-8994/13/6/935info:eu-repo/semantics/altIdentifier/doi/10.3390/sym13060935info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:57:53Zoai:ri.conicet.gov.ar:11336/150769instacron: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 09:57:53.977CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Calculation of the statistical properties in intermittency using the natural invariant density
title Calculation of the statistical properties in intermittency using the natural invariant density
spellingShingle Calculation of the statistical properties in intermittency using the natural invariant density
Elaskar, Sergio Amado
CHAOTIC INTERMITTENCY
INVARIANT DENSITY
MAPS
REINJECTION PROBABILITY DENSITY FUNCTION
title_short Calculation of the statistical properties in intermittency using the natural invariant density
title_full Calculation of the statistical properties in intermittency using the natural invariant density
title_fullStr Calculation of the statistical properties in intermittency using the natural invariant density
title_full_unstemmed Calculation of the statistical properties in intermittency using the natural invariant density
title_sort Calculation of the statistical properties in intermittency using the natural invariant density
dc.creator.none.fl_str_mv Elaskar, Sergio Amado
del Río, Ezequiel
Lorenzon, Denis
author Elaskar, Sergio Amado
author_facet Elaskar, Sergio Amado
del Río, Ezequiel
Lorenzon, Denis
author_role author
author2 del Río, Ezequiel
Lorenzon, Denis
author2_role author
author
dc.subject.none.fl_str_mv CHAOTIC INTERMITTENCY
INVARIANT DENSITY
MAPS
REINJECTION PROBABILITY DENSITY FUNCTION
topic CHAOTIC INTERMITTENCY
INVARIANT DENSITY
MAPS
REINJECTION PROBABILITY DENSITY FUNCTION
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We use the natural invariant density of the map and the Perron–Frobenius operator to analytically evaluate the statistical properties for chaotic intermittency. This study can be understood as an improvement of the previous ones because it does not introduce assumptions about the reinjection probability density function in the laminar interval or the map density at pre-reinjection points. To validate the new theoretical equations, we study a symmetric map and a non-symmetric one. The cusp map has symmetry about x = 0, but the Manneville map has no symmetry. We carry out several comparisons between the theoretical equations here presented, the M function methodology, the classical theory of intermittency, and numerical data. The new theoretical equations show more accuracy than those calculated with other techniques.
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
Fil: Lorenzon, Denis. 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
description We use the natural invariant density of the map and the Perron–Frobenius operator to analytically evaluate the statistical properties for chaotic intermittency. This study can be understood as an improvement of the previous ones because it does not introduce assumptions about the reinjection probability density function in the laminar interval or the map density at pre-reinjection points. To validate the new theoretical equations, we study a symmetric map and a non-symmetric one. The cusp map has symmetry about x = 0, but the Manneville map has no symmetry. We carry out several comparisons between the theoretical equations here presented, the M function methodology, the classical theory of intermittency, and numerical data. The new theoretical equations show more accuracy than those calculated with other techniques.
publishDate 2021
dc.date.none.fl_str_mv 2021-06
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/11336/150769
Elaskar, Sergio Amado; del Río, Ezequiel; Lorenzon, Denis; Calculation of the statistical properties in intermittency using the natural invariant density; Multidisciplinary Digital Publishing Institute; Symmetry; 13; 6; 6-2021; 1-18
2073-8994
CONICET Digital
CONICET
url http://hdl.handle.net/11336/150769
identifier_str_mv Elaskar, Sergio Amado; del Río, Ezequiel; Lorenzon, Denis; Calculation of the statistical properties in intermittency using the natural invariant density; Multidisciplinary Digital Publishing Institute; Symmetry; 13; 6; 6-2021; 1-18
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/2073-8994/13/6/935
info:eu-repo/semantics/altIdentifier/doi/10.3390/sym13060935
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 Multidisciplinary Digital Publishing Institute
publisher.none.fl_str_mv Multidisciplinary Digital Publishing Institute
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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