COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRY
| dc.contributor.author | Antoneli, Fernando [UNIFESP] | |
| dc.contributor.author | Dias, Ana | |
| dc.contributor.author | Paiva, Rui | |
| dc.contributor.institution | Universidade Federal de São Paulo (UNIFESP) | |
| dc.contributor.institution | Univ Porto | |
| dc.date.accessioned | 2018-06-15T17:17:24Z | |
| dc.date.available | 2018-06-15T17:17:24Z | |
| dc.date.issued | 2011-09-01 | |
| dc.description.abstract | 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. | en |
| dc.description.affiliation | Univ Fed Sao Paulo UNIFESP, Escola Paulista Med, BR-04023900 Sao Paulo, Brazil | |
| dc.description.affiliation | Univ Porto, Ctr Matemat, Dept Matemat, P-4169007 Oporto, Portugal | |
| dc.description.affiliation | Univ Porto, Ctr Matemat, Inst Politecn Leiria, Escola Super Tecnol & Gestao, P-4169007 Oporto, Portugal | |
| dc.description.affiliationUnifesp | Univ Fed Sao Paulo UNIFESP, Escola Paulista Med, BR-04023900 Sao Paulo, Brazil | |
| dc.description.source | Web of Science | |
| dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) | |
| dc.description.sponsorship | FCT | |
| dc.description.sponsorshipID | FCT: SFRH/BD/30001/2006 | |
| dc.format.extent | 71-78 | |
| dc.identifier | https://aimsciences.org/journals/pdfs.jsp?paperID=6763&mode=full | |
| dc.identifier.citation | Discrete And Continuous Dynamical Systems. Springfield: Amer Inst Mathematical Sciences, p. 71-78, 2011. | |
| dc.identifier.issn | 1078-0947 | |
| dc.identifier.uri | http://repositorio.unifesp.br/handle/11600/43494 | |
| dc.identifier.wos | WOS:000208864300008 | |
| dc.language.iso | eng | |
| dc.publisher | Amer Inst Mathematical Sciences | |
| dc.relation.ispartof | Discrete And Continuous Dynamical Systems | |
| dc.rights | info:eu-repo/semantics/openAccess | |
| dc.subject | Hopf bifurcation | en |
| dc.subject | center manifold reduction | en |
| dc.subject | coupled cell systems | en |
| dc.title | COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRY | en |
| dc.type | info:eu-repo/semantics/article |