On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system

Autores
Rozenfeld, Alejandro Fabián; Tessone, Claudio Juan; Albano, Ezequiel Vicente; Wio, Horacio S.
Año de publicación
2001
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Noise induced changes in the critical and oscillatory behavior of a Prey-Predator system are studied using power spectrum density and Spectral Amplification Factor (SAF) analysis. In the absence of external noise, the population densities exhibit three kinds of asymptotic behavior, namely: Absorbing State, Fixed Point (FP) and an Oscillatory Regime (OR) with a well defined proper (natural) frequency. The addition of noise destabilizes the FP phase inducing a transition to a new OR. Surprisingly, it is found that when a periodic signal is added to the control parameter, the system responds robustly, without relevant changes in its behavior. Nevertheless, the "Coherent Stochastic Resonance" phenomenon is found only at the proper frequency. Also, a method based on SAF allows us to locate very accurately the transition points between the different regimes.
Facultad de Ciencias Exactas
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Instituto de Física La Plata
Materia
Ciencias Exactas
Física
noise
spectral amplification factor
power spectrum density
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/129520
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/129520
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the systemRozenfeld, Alejandro FabiánTessone, Claudio JuanAlbano, Ezequiel VicenteWio, Horacio S.Ciencias ExactasFísicanoisespectral amplification factorpower spectrum densityNoise induced changes in the critical and oscillatory behavior of a Prey-Predator system are studied using power spectrum density and Spectral Amplification Factor (SAF) analysis. In the absence of external noise, the population densities exhibit three kinds of asymptotic behavior, namely: Absorbing State, Fixed Point (FP) and an Oscillatory Regime (OR) with a well defined proper (natural) frequency. The addition of noise destabilizes the FP phase inducing a transition to a new OR. Surprisingly, it is found that when a periodic signal is added to the control parameter, the system responds robustly, without relevant changes in its behavior. Nevertheless, the "Coherent Stochastic Resonance" phenomenon is found only at the proper frequency. Also, a method based on SAF allows us to locate very accurately the transition points between the different regimes.Facultad de Ciencias ExactasInstituto de Investigaciones Fisicoquímicas Teóricas y AplicadasInstituto de Física La Plata2001-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf45-52http://sedici.unlp.edu.ar/handle/10915/129520enginfo:eu-repo/semantics/altIdentifier/issn/0375-9601info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0012366info:eu-repo/semantics/altIdentifier/doi/10.1016/s0375-9601(01)00033-0info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:31:13Zoai:sedici.unlp.edu.ar:10915/129520Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:31:13.952SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
title On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
spellingShingle On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
Rozenfeld, Alejandro Fabián
Ciencias Exactas
Física
noise
spectral amplification factor
power spectrum density
title_short On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
title_full On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
title_fullStr On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
title_full_unstemmed On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
title_sort On the influence of noise on the critical and oscillatory behavior of a predator–prey model: coherent stochastic resonance at the proper frequency of the system
dc.creator.none.fl_str_mv Rozenfeld, Alejandro Fabián
Tessone, Claudio Juan
Albano, Ezequiel Vicente
Wio, Horacio S.
author Rozenfeld, Alejandro Fabián
author_facet Rozenfeld, Alejandro Fabián
Tessone, Claudio Juan
Albano, Ezequiel Vicente
Wio, Horacio S.
author_role author
author2 Tessone, Claudio Juan
Albano, Ezequiel Vicente
Wio, Horacio S.
author2_role author
author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Física
noise
spectral amplification factor
power spectrum density
topic Ciencias Exactas
Física
noise
spectral amplification factor
power spectrum density
dc.description.none.fl_txt_mv Noise induced changes in the critical and oscillatory behavior of a Prey-Predator system are studied using power spectrum density and Spectral Amplification Factor (SAF) analysis. In the absence of external noise, the population densities exhibit three kinds of asymptotic behavior, namely: Absorbing State, Fixed Point (FP) and an Oscillatory Regime (OR) with a well defined proper (natural) frequency. The addition of noise destabilizes the FP phase inducing a transition to a new OR. Surprisingly, it is found that when a periodic signal is added to the control parameter, the system responds robustly, without relevant changes in its behavior. Nevertheless, the "Coherent Stochastic Resonance" phenomenon is found only at the proper frequency. Also, a method based on SAF allows us to locate very accurately the transition points between the different regimes.
Facultad de Ciencias Exactas
Instituto de Investigaciones Fisicoquímicas Teóricas y Aplicadas
Instituto de Física La Plata
description Noise induced changes in the critical and oscillatory behavior of a Prey-Predator system are studied using power spectrum density and Spectral Amplification Factor (SAF) analysis. In the absence of external noise, the population densities exhibit three kinds of asymptotic behavior, namely: Absorbing State, Fixed Point (FP) and an Oscillatory Regime (OR) with a well defined proper (natural) frequency. The addition of noise destabilizes the FP phase inducing a transition to a new OR. Surprisingly, it is found that when a periodic signal is added to the control parameter, the system responds robustly, without relevant changes in its behavior. Nevertheless, the "Coherent Stochastic Resonance" phenomenon is found only at the proper frequency. Also, a method based on SAF allows us to locate very accurately the transition points between the different regimes.
publishDate 2001
dc.date.none.fl_str_mv 2001-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/129520
url http://sedici.unlp.edu.ar/handle/10915/129520
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0375-9601
info:eu-repo/semantics/altIdentifier/arxiv/cond-mat/0012366
info:eu-repo/semantics/altIdentifier/doi/10.1016/s0375-9601(01)00033-0
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
45-52
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.070432

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