Exponential distributed time-delay nonlinear models: Monte Carlo simulations

Autores
Caceres Garcia Faure, Manuel Osvaldo; Rojas Rodríguez, Christian Daniel
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The stochastic dynamics toward the final attractor in an exponential distributed time-delay nonlinear model is studied, in the small noise approximation. The passage time statistic for this non-Markovian type of system has been worked out using Monte Carlo simulations.We report the mean first passage time ⟨te⟩MC from the unstable state as a function of the mean time-delay ϵ ≡ λ −1 . We have compared our Monte Carlo simulations for λ ≫ 1 against previous results (Cáceres, 2008) and we have found excellent agreement in the adiabatic regime. The crossover for λ ∼ 1 and a power-law behavior ⟨te⟩MC ∼ λ −ν for λ ≪ 1 have also been found in agreement with recent theoretical predictions (Cáceres, 2014).
Fil: Caceres Garcia Faure, Manuel Osvaldo. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rojas Rodríguez, Christian Daniel. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Anomalous Fluctuations
Non-Linear Population Models
Distributed Time-Delay in Population Models
Non-Adiabatic Approach for Non-Markov Process
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/32696
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/32696
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network_name_str CONICET Digital (CONICET)
spelling Exponential distributed time-delay nonlinear models: Monte Carlo simulationsCaceres Garcia Faure, Manuel OsvaldoRojas Rodríguez, Christian DanielAnomalous FluctuationsNon-Linear Population ModelsDistributed Time-Delay in Population ModelsNon-Adiabatic Approach for Non-Markov Processhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1The stochastic dynamics toward the final attractor in an exponential distributed time-delay nonlinear model is studied, in the small noise approximation. The passage time statistic for this non-Markovian type of system has been worked out using Monte Carlo simulations.We report the mean first passage time ⟨te⟩MC from the unstable state as a function of the mean time-delay ϵ ≡ λ −1 . We have compared our Monte Carlo simulations for λ ≫ 1 against previous results (Cáceres, 2008) and we have found excellent agreement in the adiabatic regime. The crossover for λ ∼ 1 and a power-law behavior ⟨te⟩MC ∼ λ −ν for λ ≪ 1 have also been found in agreement with recent theoretical predictions (Cáceres, 2014).Fil: Caceres Garcia Faure, Manuel Osvaldo. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Rojas Rodríguez, Christian Daniel. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier Science2014-04info: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/11336/32696Rojas Rodríguez, Christian Daniel; Caceres Garcia Faure, Manuel Osvaldo; Exponential distributed time-delay nonlinear models: Monte Carlo simulations; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 409; 4-2014; 61-700378-4371CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437114003367info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2014.04.025info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:06:48Zoai:ri.conicet.gov.ar:11336/32696instacron: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 12:06:48.298CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Exponential distributed time-delay nonlinear models: Monte Carlo simulations
title Exponential distributed time-delay nonlinear models: Monte Carlo simulations
spellingShingle Exponential distributed time-delay nonlinear models: Monte Carlo simulations
Caceres Garcia Faure, Manuel Osvaldo
Anomalous Fluctuations
Non-Linear Population Models
Distributed Time-Delay in Population Models
Non-Adiabatic Approach for Non-Markov Process
title_short Exponential distributed time-delay nonlinear models: Monte Carlo simulations
title_full Exponential distributed time-delay nonlinear models: Monte Carlo simulations
title_fullStr Exponential distributed time-delay nonlinear models: Monte Carlo simulations
title_full_unstemmed Exponential distributed time-delay nonlinear models: Monte Carlo simulations
title_sort Exponential distributed time-delay nonlinear models: Monte Carlo simulations
dc.creator.none.fl_str_mv Caceres Garcia Faure, Manuel Osvaldo
Rojas Rodríguez, Christian Daniel
author Caceres Garcia Faure, Manuel Osvaldo
author_facet Caceres Garcia Faure, Manuel Osvaldo
Rojas Rodríguez, Christian Daniel
author_role author
author2 Rojas Rodríguez, Christian Daniel
author2_role author
dc.subject.none.fl_str_mv Anomalous Fluctuations
Non-Linear Population Models
Distributed Time-Delay in Population Models
Non-Adiabatic Approach for Non-Markov Process
topic Anomalous Fluctuations
Non-Linear Population Models
Distributed Time-Delay in Population Models
Non-Adiabatic Approach for Non-Markov Process
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The stochastic dynamics toward the final attractor in an exponential distributed time-delay nonlinear model is studied, in the small noise approximation. The passage time statistic for this non-Markovian type of system has been worked out using Monte Carlo simulations.We report the mean first passage time ⟨te⟩MC from the unstable state as a function of the mean time-delay ϵ ≡ λ −1 . We have compared our Monte Carlo simulations for λ ≫ 1 against previous results (Cáceres, 2008) and we have found excellent agreement in the adiabatic regime. The crossover for λ ∼ 1 and a power-law behavior ⟨te⟩MC ∼ λ −ν for λ ≪ 1 have also been found in agreement with recent theoretical predictions (Cáceres, 2014).
Fil: Caceres Garcia Faure, Manuel Osvaldo. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Rojas Rodríguez, Christian Daniel. Comisión Nacional de Energía Atómica. Gerencia del Área de Energía Nuclear. Instituto Balseiro; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description The stochastic dynamics toward the final attractor in an exponential distributed time-delay nonlinear model is studied, in the small noise approximation. The passage time statistic for this non-Markovian type of system has been worked out using Monte Carlo simulations.We report the mean first passage time ⟨te⟩MC from the unstable state as a function of the mean time-delay ϵ ≡ λ −1 . We have compared our Monte Carlo simulations for λ ≫ 1 against previous results (Cáceres, 2008) and we have found excellent agreement in the adiabatic regime. The crossover for λ ∼ 1 and a power-law behavior ⟨te⟩MC ∼ λ −ν for λ ≪ 1 have also been found in agreement with recent theoretical predictions (Cáceres, 2014).
publishDate 2014
dc.date.none.fl_str_mv 2014-04
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/11336/32696
Rojas Rodríguez, Christian Daniel; Caceres Garcia Faure, Manuel Osvaldo; Exponential distributed time-delay nonlinear models: Monte Carlo simulations; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 409; 4-2014; 61-70
0378-4371
CONICET Digital
CONICET
url http://hdl.handle.net/11336/32696
identifier_str_mv Rojas Rodríguez, Christian Daniel; Caceres Garcia Faure, Manuel Osvaldo; Exponential distributed time-delay nonlinear models: Monte Carlo simulations; Elsevier Science; Physica A: Statistical Mechanics and its Applications; 409; 4-2014; 61-70
0378-4371
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0378437114003367
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.physa.2014.04.025
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/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
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score 12.982451

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