Fernando Martins Antoneli Jr. (Escola Paulista de Medicina, Universidade Federal de São Paulo)
Tuesday, June 13th, 10:20, Room 3-012
Title: Coupled Cell Networks: Theory and Examples
Abstract:
A coupled cell system is a network of interacting dynamical systems.
Dynamical network models assume that the output from each node is important
and that signals from two or more nodes can be compared so that a notion of
pattern of synchrony makes sense. One may ask: How does network architecture
(who is talking to whom) affect the kinds of synchronous solutions that are
expected in network equations.
This talk will discuss: necessary and sufficient conditions for synchrony in terms
of network architecture, spatio-temporal symmetries of periodic solutions, as well
as some curious synchrony-breaking bifurcations.