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
.jpg)
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/32696
Ver los metadatos del registro completo
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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 |
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2014-04 |
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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 |
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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 |
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eng |
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eng |
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CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas |
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