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.