Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits

Autores
Amster, Pablo Gustavo; Alliera, Carlos Héctor Daniel
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We apply a Pyragas-type control in order to synchronize the solutions of a glycolytic model that exhibits an aperiodic behavior. This delay control is used to stabilize the orbits of ordinary differential nonlinear equations systems. Inspired by several works that studied the chaotic behavior of diverse systems for the enzymatic reactions in the presence of feedbacks, the control to two of these models is analyzed.
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Alliera, Carlos Héctor Daniel. Universidad de Buenos Aires; Argentina
Materia
BIFURCATION
CONTROL THEORY
DELAYED DIFFERENTIAL EQUATION
GLYCOLYSIS
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:11336/88940
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/88940
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Control of Pyragas Applied to a Coupled System with Unstable Periodic OrbitsAmster, Pablo GustavoAlliera, Carlos Héctor DanielBIFURCATIONCONTROL THEORYDELAYED DIFFERENTIAL EQUATIONGLYCOLYSIShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We apply a Pyragas-type control in order to synchronize the solutions of a glycolytic model that exhibits an aperiodic behavior. This delay control is used to stabilize the orbits of ordinary differential nonlinear equations systems. Inspired by several works that studied the chaotic behavior of diverse systems for the enzymatic reactions in the presence of feedbacks, the control to two of these models is analyzed.Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; ArgentinaFil: Alliera, Carlos Héctor Daniel. Universidad de Buenos Aires; ArgentinaSpringer2018-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/88940Amster, Pablo Gustavo; Alliera, Carlos Héctor Daniel; Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits; Springer; Bulletin Of Mathematical Biology; 80; 11; 11-2018; 2897-29160092-8240CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s11538-018-0492-5info:eu-repo/semantics/altIdentifier/doi/10.1007/s11538-018-0492-5info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:43:42Zoai:ri.conicet.gov.ar:11336/88940instacron: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 09:43:42.311CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits
title Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits
spellingShingle Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits
Amster, Pablo Gustavo
BIFURCATION
CONTROL THEORY
DELAYED DIFFERENTIAL EQUATION
GLYCOLYSIS
title_short Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits
title_full Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits
title_fullStr Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits
title_full_unstemmed Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits
title_sort Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits
dc.creator.none.fl_str_mv Amster, Pablo Gustavo
Alliera, Carlos Héctor Daniel
author Amster, Pablo Gustavo
author_facet Amster, Pablo Gustavo
Alliera, Carlos Héctor Daniel
author_role author
author2 Alliera, Carlos Héctor Daniel
author2_role author
dc.subject.none.fl_str_mv BIFURCATION
CONTROL THEORY
DELAYED DIFFERENTIAL EQUATION
GLYCOLYSIS
topic BIFURCATION
CONTROL THEORY
DELAYED DIFFERENTIAL EQUATION
GLYCOLYSIS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We apply a Pyragas-type control in order to synchronize the solutions of a glycolytic model that exhibits an aperiodic behavior. This delay control is used to stabilize the orbits of ordinary differential nonlinear equations systems. Inspired by several works that studied the chaotic behavior of diverse systems for the enzymatic reactions in the presence of feedbacks, the control to two of these models is analyzed.
Fil: Amster, Pablo Gustavo. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigaciones Matemáticas "Luis A. Santaló". Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigaciones Matemáticas "Luis A. Santaló"; Argentina
Fil: Alliera, Carlos Héctor Daniel. Universidad de Buenos Aires; Argentina
description We apply a Pyragas-type control in order to synchronize the solutions of a glycolytic model that exhibits an aperiodic behavior. This delay control is used to stabilize the orbits of ordinary differential nonlinear equations systems. Inspired by several works that studied the chaotic behavior of diverse systems for the enzymatic reactions in the presence of feedbacks, the control to two of these models is analyzed.
publishDate 2018
dc.date.none.fl_str_mv 2018-11
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/11336/88940
Amster, Pablo Gustavo; Alliera, Carlos Héctor Daniel; Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits; Springer; Bulletin Of Mathematical Biology; 80; 11; 11-2018; 2897-2916
0092-8240
CONICET Digital
CONICET
url http://hdl.handle.net/11336/88940
identifier_str_mv Amster, Pablo Gustavo; Alliera, Carlos Héctor Daniel; Control of Pyragas Applied to a Coupled System with Unstable Periodic Orbits; Springer; Bulletin Of Mathematical Biology; 80; 11; 11-2018; 2897-2916
0092-8240
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.springer.com/article/10.1007/s11538-018-0492-5
info:eu-repo/semantics/altIdentifier/doi/10.1007/s11538-018-0492-5
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
dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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 13.070432

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