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.