Detalhes do Documento

Coupled cell networks: Hopf bifurcation and interior symmetry

Autor(es): Antoneli, Fernando ; Dias, Ana ; Paiva, Rui

Data: 2011

Identificador Persistente: http://hdl.handle.net/10400.8/14704

Origem: IC-online

Assunto(s): Center manifold reduction; Coupled cell systems; Hopf bifurcation


Descrição

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.

Tipo de Documento Artigo científico
Idioma Inglês
Contribuidor(es) Repositório IC-Online
Licença CC
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