Publication
Coupled cell networks: Hopf bifurcation and interior symmetry
| dc.contributor.author | Antoneli, Fernando | |
| dc.contributor.author | Dias, Ana | |
| dc.contributor.author | Paiva, Rui | |
| dc.date.accessioned | 2025-11-21T16:39:28Z | |
| dc.date.available | 2025-11-21T16:39:28Z | |
| dc.date.issued | 2011 | |
| 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. | eng |
| dc.description.sponsorship | The research of FA is supported by CNPq (Conselho Nacional de Desenvolvimento Científico e Tecnológico). The research of RP was supported by a FCT grant with reference SFRH/BD/30001/2006. | |
| dc.identifier.citation | Antoneli F., Dias A., Paiva R. Coupled cell networks: Hopf bifurcation and interior symmetry (2011) Discrete and Continuous Dynamical Systems- Series A, (SUPPL.), pp. 71 - 78 | |
| dc.identifier.issn | 1553-5231 | |
| dc.identifier.uri | http://hdl.handle.net/10400.8/14704 | |
| dc.language.iso | eng | |
| dc.peerreviewed | yes | |
| dc.publisher | UNIFESP | |
| dc.relation.hasversion | https://www.scopus.com/pages/publications/84878208737 | |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | |
| dc.subject | Center manifold reduction | |
| dc.subject | Coupled cell systems | |
| dc.subject | Hopf bifurcation | |
| dc.title | Coupled cell networks: Hopf bifurcation and interior symmetry | eng |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.citation.endPage | 78 | |
| oaire.citation.startPage | 71 | |
| oaire.citation.title | Discrete and Continuous Dynamical Systems- Series A | |
| oaire.version | http://purl.org/coar/version/c_970fb48d4fbd8a85 | |
| person.familyName | Paiva | |
| person.givenName | Rui | |
| person.identifier.orcid | 0000-0002-8578-6553 | |
| relation.isAuthorOfPublication | 763ac38e-872c-44e6-9085-59a1f1dd793c | |
| relation.isAuthorOfPublication.latestForDiscovery | 763ac38e-872c-44e6-9085-59a1f1dd793c |