Effect of noise on the reinjection probability density in intermittency

Autores
del Rio, Ezequiel; Sanjuán, Miguel A. F.; Elaskar, Sergio Amado
Año de publicación
2012
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This paper analyzes the effect of noise in type-II and type-III intermittency, with respective local Poincaré maps of xn+1=(1+ε)xn+(1-ε)xn3 and xn+1=-(1+ε)xn-axn3 (a> 0). We develop a method to obtain the noisy reinjection probability density (NRPD), which basically consists in extending a recent procedure used to derive the noiseless reinjection probability density (RPD). Our approach also provides information to accurately describe the noiseless system. We also derive the probability density of the laminar length. Our analytical results show a good agreement with numerical simulations. Finally, we have also found that, for large values of the instability parameter ε, the characteristic relations approach the associated ones to the noiseless intermittency. However, for low values of the instability parameter ε, the characteristic relations reach a saturation level that depends on the NRPD.
Fil: del Rio, Ezequiel. Universidad Politécnica de Madrid; España
Fil: Sanjuán, Miguel A. F.. Universidad Rey Juan Carlos; España
Fil: Elaskar, Sergio Amado. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
CHAOS
INTERMITTENCY
ONE-DIMENSIONAL MAP
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:11336/190794
Acceder
id CONICETDig_d62399a455acb175ccd81d4ef8b51e07
oai_identifier_str oai:ri.conicet.gov.ar:11336/190794
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Effect of noise on the reinjection probability density in intermittencydel Rio, EzequielSanjuán, Miguel A. F.Elaskar, Sergio AmadoCHAOSINTERMITTENCYONE-DIMENSIONAL MAPhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This paper analyzes the effect of noise in type-II and type-III intermittency, with respective local Poincaré maps of xn+1=(1+ε)xn+(1-ε)xn3 and xn+1=-(1+ε)xn-axn3 (a> 0). We develop a method to obtain the noisy reinjection probability density (NRPD), which basically consists in extending a recent procedure used to derive the noiseless reinjection probability density (RPD). Our approach also provides information to accurately describe the noiseless system. We also derive the probability density of the laminar length. Our analytical results show a good agreement with numerical simulations. Finally, we have also found that, for large values of the instability parameter ε, the characteristic relations approach the associated ones to the noiseless intermittency. However, for low values of the instability parameter ε, the characteristic relations reach a saturation level that depends on the NRPD.Fil: del Rio, Ezequiel. Universidad Politécnica de Madrid; EspañaFil: Sanjuán, Miguel A. F.. Universidad Rey Juan Carlos; EspañaFil: Elaskar, Sergio Amado. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier Science2012-08info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/190794del Rio, Ezequiel; Sanjuán, Miguel A. F.; Elaskar, Sergio Amado; Effect of noise on the reinjection probability density in intermittency; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 17; 9; 8-2012; 3587-35961007-5704CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.cnsns.2012.01.020info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1007570412000421info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:32:48Zoai:ri.conicet.gov.ar:11336/190794instacron: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 09:32:48.273CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Effect of noise on the reinjection probability density in intermittency
title Effect of noise on the reinjection probability density in intermittency
spellingShingle Effect of noise on the reinjection probability density in intermittency
del Rio, Ezequiel
CHAOS
INTERMITTENCY
ONE-DIMENSIONAL MAP
title_short Effect of noise on the reinjection probability density in intermittency
title_full Effect of noise on the reinjection probability density in intermittency
title_fullStr Effect of noise on the reinjection probability density in intermittency
title_full_unstemmed Effect of noise on the reinjection probability density in intermittency
title_sort Effect of noise on the reinjection probability density in intermittency
dc.creator.none.fl_str_mv del Rio, Ezequiel
Sanjuán, Miguel A. F.
Elaskar, Sergio Amado
author del Rio, Ezequiel
author_facet del Rio, Ezequiel
Sanjuán, Miguel A. F.
Elaskar, Sergio Amado
author_role author
author2 Sanjuán, Miguel A. F.
Elaskar, Sergio Amado
author2_role author
author
dc.subject.none.fl_str_mv CHAOS
INTERMITTENCY
ONE-DIMENSIONAL MAP
topic CHAOS
INTERMITTENCY
ONE-DIMENSIONAL MAP
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv This paper analyzes the effect of noise in type-II and type-III intermittency, with respective local Poincaré maps of xn+1=(1+ε)xn+(1-ε)xn3 and xn+1=-(1+ε)xn-axn3 (a> 0). We develop a method to obtain the noisy reinjection probability density (NRPD), which basically consists in extending a recent procedure used to derive the noiseless reinjection probability density (RPD). Our approach also provides information to accurately describe the noiseless system. We also derive the probability density of the laminar length. Our analytical results show a good agreement with numerical simulations. Finally, we have also found that, for large values of the instability parameter ε, the characteristic relations approach the associated ones to the noiseless intermittency. However, for low values of the instability parameter ε, the characteristic relations reach a saturation level that depends on the NRPD.
Fil: del Rio, Ezequiel. Universidad Politécnica de Madrid; España
Fil: Sanjuán, Miguel A. F.. Universidad Rey Juan Carlos; España
Fil: Elaskar, Sergio Amado. Universidad Nacional de Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description This paper analyzes the effect of noise in type-II and type-III intermittency, with respective local Poincaré maps of xn+1=(1+ε)xn+(1-ε)xn3 and xn+1=-(1+ε)xn-axn3 (a> 0). We develop a method to obtain the noisy reinjection probability density (NRPD), which basically consists in extending a recent procedure used to derive the noiseless reinjection probability density (RPD). Our approach also provides information to accurately describe the noiseless system. We also derive the probability density of the laminar length. Our analytical results show a good agreement with numerical simulations. Finally, we have also found that, for large values of the instability parameter ε, the characteristic relations approach the associated ones to the noiseless intermittency. However, for low values of the instability parameter ε, the characteristic relations reach a saturation level that depends on the NRPD.
publishDate 2012
dc.date.none.fl_str_mv 2012-08
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/11336/190794
del Rio, Ezequiel; Sanjuán, Miguel A. F.; Elaskar, Sergio Amado; Effect of noise on the reinjection probability density in intermittency; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 17; 9; 8-2012; 3587-3596
1007-5704
CONICET Digital
CONICET
url http://hdl.handle.net/11336/190794
identifier_str_mv del Rio, Ezequiel; Sanjuán, Miguel A. F.; Elaskar, Sergio Amado; Effect of noise on the reinjection probability density in intermittency; Elsevier Science; Communications In Nonlinear Science And Numerical Simulation; 17; 9; 8-2012; 3587-3596
1007-5704
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cnsns.2012.01.020
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1007570412000421
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
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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_ 1844613002909712384
score 13.070432

Publicaciones similares