COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRY

Detalhes bibliográficos
Autor(a) principal: Antoneli, Fernando [UNIFESP]
Data de Publicação: 2011
Outros Autores: Dias, Ana, Paiva, Rui
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNIFESP
Texto Completo: https://aimsciences.org/journals/pdfs.jsp?paperID=6763&mode=full
http://repositorio.unifesp.br/handle/11600/43494
Resumo: We consider interior symmetric coupled cell networks where a group of permutations of a subset of cells partially preserves the network structure. In this setup, the full analogue of the Equivariant Hopf Theorem for networks with symmetries was obtained by Antoneli, Dias and Paiva (Hopf bifurcation in coupled cell networks with interior symmetries, SIAM J. Appl. Dynam. Sys. 7 (2008) 220-248). In this work we present an alternative proof of this result using center manifold reduction.
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spelling COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRYHopf bifurcationcenter manifold reductioncoupled cell systemsWe consider interior symmetric coupled cell networks where a group of permutations of a subset of cells partially preserves the network structure. In this setup, the full analogue of the Equivariant Hopf Theorem for networks with symmetries was obtained by Antoneli, Dias and Paiva (Hopf bifurcation in coupled cell networks with interior symmetries, SIAM J. Appl. Dynam. Sys. 7 (2008) 220-248). In this work we present an alternative proof of this result using center manifold reduction.Univ Fed Sao Paulo UNIFESP, Escola Paulista Med, BR-04023900 Sao Paulo, BrazilUniv Porto, Ctr Matemat, Dept Matemat, P-4169007 Oporto, PortugalUniv Porto, Ctr Matemat, Inst Politecn Leiria, Escola Super Tecnol & Gestao, P-4169007 Oporto, PortugalUniv Fed Sao Paulo UNIFESP, Escola Paulista Med, BR-04023900 Sao Paulo, BrazilWeb of ScienceConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)FCTFCT: SFRH/BD/30001/2006Amer Inst Mathematical SciencesUniversidade Federal de São Paulo (UNIFESP)Univ PortoAntoneli, Fernando [UNIFESP]Dias, AnaPaiva, Rui2018-06-15T17:17:24Z2018-06-15T17:17:24Z2011-09-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersion71-78https://aimsciences.org/journals/pdfs.jsp?paperID=6763&mode=fullDiscrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences, p. 71-78, 2011.1078-0947http://repositorio.unifesp.br/handle/11600/43494WOS:000208864300008engDiscrete And Continuous Dynamical Systemsinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNIFESPinstname:Universidade Federal de São Paulo (UNIFESP)instacron:UNIFESP2024-05-02T11:42:31Zoai:repositorio.unifesp.br/:11600/43494Repositório InstitucionalPUBhttp://www.repositorio.unifesp.br/oai/requestbiblioteca.csp@unifesp.bropendoar:34652024-05-02T11:42:31Repositório Institucional da UNIFESP - Universidade Federal de São Paulo (UNIFESP)false
dc.title.none.fl_str_mv COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRY
title COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRY
spellingShingle COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRY
Antoneli, Fernando [UNIFESP]
Hopf bifurcation
center manifold reduction
coupled cell systems
title_short COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRY
title_full COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRY
title_fullStr COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRY
title_full_unstemmed COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRY
title_sort COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRY
author Antoneli, Fernando [UNIFESP]
author_facet Antoneli, Fernando [UNIFESP]
Dias, Ana
Paiva, Rui
author_role author
author2 Dias, Ana
Paiva, Rui
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Federal de São Paulo (UNIFESP)
Univ Porto
dc.contributor.author.fl_str_mv Antoneli, Fernando [UNIFESP]
Dias, Ana
Paiva, Rui
dc.subject.por.fl_str_mv Hopf bifurcation
center manifold reduction
coupled cell systems
topic Hopf bifurcation
center manifold reduction
coupled cell systems
description We consider interior symmetric coupled cell networks where a group of permutations of a subset of cells partially preserves the network structure. In this setup, the full analogue of the Equivariant Hopf Theorem for networks with symmetries was obtained by Antoneli, Dias and Paiva (Hopf bifurcation in coupled cell networks with interior symmetries, SIAM J. Appl. Dynam. Sys. 7 (2008) 220-248). In this work we present an alternative proof of this result using center manifold reduction.
publishDate 2011
dc.date.none.fl_str_mv 2011-09-01
2018-06-15T17:17:24Z
2018-06-15T17:17:24Z
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv https://aimsciences.org/journals/pdfs.jsp?paperID=6763&mode=full
Discrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences, p. 71-78, 2011.
1078-0947
http://repositorio.unifesp.br/handle/11600/43494
WOS:000208864300008
url https://aimsciences.org/journals/pdfs.jsp?paperID=6763&mode=full
http://repositorio.unifesp.br/handle/11600/43494
identifier_str_mv Discrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences, p. 71-78, 2011.
1078-0947
WOS:000208864300008
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Discrete And Continuous Dynamical Systems
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 71-78
dc.publisher.none.fl_str_mv Amer Inst Mathematical Sciences
publisher.none.fl_str_mv Amer Inst Mathematical Sciences
dc.source.none.fl_str_mv reponame:Repositório Institucional da UNIFESP
instname:Universidade Federal de São Paulo (UNIFESP)
instacron:UNIFESP
instname_str Universidade Federal de São Paulo (UNIFESP)
instacron_str UNIFESP
institution UNIFESP
reponame_str Repositório Institucional da UNIFESP
collection Repositório Institucional da UNIFESP
repository.name.fl_str_mv Repositório Institucional da UNIFESP - Universidade Federal de São Paulo (UNIFESP)
repository.mail.fl_str_mv biblioteca.csp@unifesp.br
_version_ 1814268438997106688

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