Emergence of stationary multimodality under two-timescaled dichotomic noise

Autores
Budini, Adrian Adolfo; Mc Hardy, Isaias; Nizama Mendoza, Marco Alfredo; Caceres Garcia Faure, Manuel Osvaldo
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study a linear Langevin dynamics driven by an additive non-Markovian symmetrical dichotomic noise. It is shown that when the statistics of the time intervals between noise transitions is characterized by two well differentiated timescales, the stationary distribution may develop multimodality (bi- and trimodality). The underlying effects that lead to a probability concentration in different points include intermittence and also a dynamical locking of realizations. Our results are supported by numerical simulations as well as by an exact treatment obtained from a Markovian embedding of the full dynamics, which leads to a third-order differential equation for the stationary distribution.
Fil: Budini, Adrian Adolfo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Universidad Tecnológica Nacional; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Mc Hardy, Isaias. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Nizama Mendoza, Marco Alfredo. Universidad Nacional del Comahue; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Caceres Garcia Faure, Manuel Osvaldo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Materia
Stationary multimodality
Stochastic Processes
Non-Markovian noise
Dichotomic noise
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:11336/127032
Acceder
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network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Emergence of stationary multimodality under two-timescaled dichotomic noiseBudini, Adrian AdolfoMc Hardy, IsaiasNizama Mendoza, Marco AlfredoCaceres Garcia Faure, Manuel OsvaldoStationary multimodalityStochastic ProcessesNon-Markovian noiseDichotomic noisehttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study a linear Langevin dynamics driven by an additive non-Markovian symmetrical dichotomic noise. It is shown that when the statistics of the time intervals between noise transitions is characterized by two well differentiated timescales, the stationary distribution may develop multimodality (bi- and trimodality). The underlying effects that lead to a probability concentration in different points include intermittence and also a dynamical locking of realizations. Our results are supported by numerical simulations as well as by an exact treatment obtained from a Markovian embedding of the full dynamics, which leads to a third-order differential equation for the stationary distribution.Fil: Budini, Adrian Adolfo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Universidad Tecnológica Nacional; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Mc Hardy, Isaias. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; ArgentinaFil: Nizama Mendoza, Marco Alfredo. Universidad Nacional del Comahue; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaFil: Caceres Garcia Faure, Manuel Osvaldo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; ArgentinaAmerican Physical Society2020-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/127032Budini, Adrian Adolfo; Mc Hardy, Isaias; Nizama Mendoza, Marco Alfredo; Caceres Garcia Faure, Manuel Osvaldo; Emergence of stationary multimodality under two-timescaled dichotomic noise; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 101; 5; 5-2020; 521371-5213792470-0053CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.aps.org/doi/10.1103/PhysRevE.101.052137info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.101.052137info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:03:59Zoai:ri.conicet.gov.ar:11336/127032instacron: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:34982025-10-22 12:03:59.694CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Emergence of stationary multimodality under two-timescaled dichotomic noise
title Emergence of stationary multimodality under two-timescaled dichotomic noise
spellingShingle Emergence of stationary multimodality under two-timescaled dichotomic noise
Budini, Adrian Adolfo
Stationary multimodality
Stochastic Processes
Non-Markovian noise
Dichotomic noise
title_short Emergence of stationary multimodality under two-timescaled dichotomic noise
title_full Emergence of stationary multimodality under two-timescaled dichotomic noise
title_fullStr Emergence of stationary multimodality under two-timescaled dichotomic noise
title_full_unstemmed Emergence of stationary multimodality under two-timescaled dichotomic noise
title_sort Emergence of stationary multimodality under two-timescaled dichotomic noise
dc.creator.none.fl_str_mv Budini, Adrian Adolfo
Mc Hardy, Isaias
Nizama Mendoza, Marco Alfredo
Caceres Garcia Faure, Manuel Osvaldo
author Budini, Adrian Adolfo
author_facet Budini, Adrian Adolfo
Mc Hardy, Isaias
Nizama Mendoza, Marco Alfredo
Caceres Garcia Faure, Manuel Osvaldo
author_role author
author2 Mc Hardy, Isaias
Nizama Mendoza, Marco Alfredo
Caceres Garcia Faure, Manuel Osvaldo
author2_role author
author
author
dc.subject.none.fl_str_mv Stationary multimodality
Stochastic Processes
Non-Markovian noise
Dichotomic noise
topic Stationary multimodality
Stochastic Processes
Non-Markovian noise
Dichotomic noise
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study a linear Langevin dynamics driven by an additive non-Markovian symmetrical dichotomic noise. It is shown that when the statistics of the time intervals between noise transitions is characterized by two well differentiated timescales, the stationary distribution may develop multimodality (bi- and trimodality). The underlying effects that lead to a probability concentration in different points include intermittence and also a dynamical locking of realizations. Our results are supported by numerical simulations as well as by an exact treatment obtained from a Markovian embedding of the full dynamics, which leads to a third-order differential equation for the stationary distribution.
Fil: Budini, Adrian Adolfo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Universidad Tecnológica Nacional; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Mc Hardy, Isaias. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina
Fil: Nizama Mendoza, Marco Alfredo. Universidad Nacional del Comahue; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
Fil: Caceres Garcia Faure, Manuel Osvaldo. Comisión Nacional de Energía Atómica. Centro Atómico Bariloche; Argentina. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Patagonia Norte; Argentina
description We study a linear Langevin dynamics driven by an additive non-Markovian symmetrical dichotomic noise. It is shown that when the statistics of the time intervals between noise transitions is characterized by two well differentiated timescales, the stationary distribution may develop multimodality (bi- and trimodality). The underlying effects that lead to a probability concentration in different points include intermittence and also a dynamical locking of realizations. Our results are supported by numerical simulations as well as by an exact treatment obtained from a Markovian embedding of the full dynamics, which leads to a third-order differential equation for the stationary distribution.
publishDate 2020
dc.date.none.fl_str_mv 2020-05
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/11336/127032
Budini, Adrian Adolfo; Mc Hardy, Isaias; Nizama Mendoza, Marco Alfredo; Caceres Garcia Faure, Manuel Osvaldo; Emergence of stationary multimodality under two-timescaled dichotomic noise; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 101; 5; 5-2020; 521371-521379
2470-0053
CONICET Digital
CONICET
url http://hdl.handle.net/11336/127032
identifier_str_mv Budini, Adrian Adolfo; Mc Hardy, Isaias; Nizama Mendoza, Marco Alfredo; Caceres Garcia Faure, Manuel Osvaldo; Emergence of stationary multimodality under two-timescaled dichotomic noise; American Physical Society; Physical Review E: Statistical, Nonlinear and Soft Matter Physics; 101; 5; 5-2020; 521371-521379
2470-0053
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://link.aps.org/doi/10.1103/PhysRevE.101.052137
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevE.101.052137
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
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
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 12.982451

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