Group theory, synchrony-breaking bifurcations and coupled cell network
by
Ana Dias
Universidade do Porto, Portugal
Coauthors: Fernando Antoneli, Jeroen Lamb and Rui Paiva

We consider codimension-one local bifurcations in coupled cell systems associated with symmetric and interior symmetric coupled cell networks. For the first class of symmetric networks, we show that in addition to the symmetry, the structure of the network should be taken into account in the bifurcation analysis. The second class of networks lies between the class of general networks and the first class. We show that group theoretic methods still apply in this case.

Date received: June 29, 2007

Copyright © 2007 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cavj-49.