COUPLED CELL NETWORKS: HOPF BIFURCATION AND INTERIOR SYMMETRY

被引：0

作者：

Antoneli, Fernando ^{[1
]}

Dias, Ana ^{[2
]}

Paiva, Rui ^{[3
]}

机构：

[1] Univ Fed Sao Paulo UNIFESP, Escola Paulista Med, Rua Botucatu 740, BR-04023900 Sao Paulo, Brazil

[2] Univ Porto, Ctr Matemat, Dept Matemat, P-4169007 Oporto, Portugal

[3] Univ Porto, Ctr Matemat, Inst Politecn Leiria, Escola Super Tecnol & Gestao, P-4169007 Oporto, Portugal

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2011年 / 31卷

关键词：

Hopf bifurcation; center manifold reduction; coupled cell systems;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：71 / 78

页数：8

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