Coupled cell networks: Hopf bifurcation and interior symmetry

Antoneli, Fernando; Dias, Ana; Paiva, Rui

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

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Authors

Antoneli, Fernando

Dias, Ana

Paiva, Rui

Abstract(s)

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.

Keywords

Center manifold reduction Coupled cell systems Hopf bifurcation

URI

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

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

Publisher

UNIFESP

Collections

ESTG - Artigos em revistas internacionais

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