Heteroclinic Cycles in a Competitive Network

Autores
Chialva, Ulises; Reartes, Walter
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The competitive threshold linear networks are recently developed and are typical examples of non-smooth systems that can be easily constructed. By its facility of manipulating they are used in several applications, but its dynamic (both local and global) is not completely understood. In this work, we take some threshold systems recently developed and by a simple modification in the parameter space, we obtain new global dynamic behaviour. Heteroclinic cycles and other remarkable scenarios of global bifurcation are reported.
Fil: Chialva, Ulises. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Reartes, Walter. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Materia
Competitive Networks
Heteroclinic Cycles
Global Bifurcations
Non-Smooth Systems
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:11336/66160
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Heteroclinic Cycles in a Competitive NetworkChialva, UlisesReartes, WalterCompetitive NetworksHeteroclinic CyclesGlobal BifurcationsNon-Smooth Systemshttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1The competitive threshold linear networks are recently developed and are typical examples of non-smooth systems that can be easily constructed. By its facility of manipulating they are used in several applications, but its dynamic (both local and global) is not completely understood. In this work, we take some threshold systems recently developed and by a simple modification in the parameter space, we obtain new global dynamic behaviour. Heteroclinic cycles and other remarkable scenarios of global bifurcation are reported.Fil: Chialva, Ulises. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaFil: Reartes, Walter. Universidad Nacional del Sur. Departamento de Matemática; ArgentinaWorld Scientific2017-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/66160Chialva, Ulises; Reartes, Walter; Heteroclinic Cycles in a Competitive Network; World Scientific; International Journal Of Bifurcation And Chaos; 27; 12; 12-20170218-1274CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1142/S0218127417300440info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-15T15:10:20Zoai:ri.conicet.gov.ar:11336/66160instacron: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:34982025-10-15 15:10:20.759CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Heteroclinic Cycles in a Competitive Network
title Heteroclinic Cycles in a Competitive Network
spellingShingle Heteroclinic Cycles in a Competitive Network
Chialva, Ulises
Competitive Networks
Heteroclinic Cycles
Global Bifurcations
Non-Smooth Systems
title_short Heteroclinic Cycles in a Competitive Network
title_full Heteroclinic Cycles in a Competitive Network
title_fullStr Heteroclinic Cycles in a Competitive Network
title_full_unstemmed Heteroclinic Cycles in a Competitive Network
title_sort Heteroclinic Cycles in a Competitive Network
dc.creator.none.fl_str_mv Chialva, Ulises
Reartes, Walter
author Chialva, Ulises
author_facet Chialva, Ulises
Reartes, Walter
author_role author
author2 Reartes, Walter
author2_role author
dc.subject.none.fl_str_mv Competitive Networks
Heteroclinic Cycles
Global Bifurcations
Non-Smooth Systems
topic Competitive Networks
Heteroclinic Cycles
Global Bifurcations
Non-Smooth Systems
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv The competitive threshold linear networks are recently developed and are typical examples of non-smooth systems that can be easily constructed. By its facility of manipulating they are used in several applications, but its dynamic (both local and global) is not completely understood. In this work, we take some threshold systems recently developed and by a simple modification in the parameter space, we obtain new global dynamic behaviour. Heteroclinic cycles and other remarkable scenarios of global bifurcation are reported.
Fil: Chialva, Ulises. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional del Sur. Departamento de Matemática; Argentina
Fil: Reartes, Walter. Universidad Nacional del Sur. Departamento de Matemática; Argentina
description The competitive threshold linear networks are recently developed and are typical examples of non-smooth systems that can be easily constructed. By its facility of manipulating they are used in several applications, but its dynamic (both local and global) is not completely understood. In this work, we take some threshold systems recently developed and by a simple modification in the parameter space, we obtain new global dynamic behaviour. Heteroclinic cycles and other remarkable scenarios of global bifurcation are reported.
publishDate 2017
dc.date.none.fl_str_mv 2017-12
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/11336/66160
Chialva, Ulises; Reartes, Walter; Heteroclinic Cycles in a Competitive Network; World Scientific; International Journal Of Bifurcation And Chaos; 27; 12; 12-2017
0218-1274
CONICET Digital
CONICET
url http://hdl.handle.net/11336/66160
identifier_str_mv Chialva, Ulises; Reartes, Walter; Heteroclinic Cycles in a Competitive Network; World Scientific; International Journal Of Bifurcation And Chaos; 27; 12; 12-2017
0218-1274
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1142/S0218127417300440
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 World Scientific
publisher.none.fl_str_mv World Scientific
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 13.22299

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