Author(s): Antoneli, Fernando ; Dias, Ana ; Paiva, Rui
Date: 2011
Persistent ID: http://hdl.handle.net/10400.8/14704
Origin: IC-online
Subject(s): Center manifold reduction; Coupled cell systems; Hopf bifurcation
Document details
Coupled cell networks: Hopf bifurcation and interior symmetry
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.
Document Type
Journal article
Language English
Contributor(s) Repositório IC-Online
CC Licence
Language English
Contributor(s) Repositório IC-Online
CC Licence
