Coupled cell networks
Coupled cell networks are dynamical systems, where part of the underlying
structure is defined in terms of cells and their connections.
The main aim is to understand how the network structure has an influence on
the dynamics of such a system.
The questions I study focus on problems of bifurcation theory, starting with
Work in progress with Martin Golubitsky (Houston), Ana Paula Dias (Porto)
and Carla Pinto (Porto).
- develop a linear normal form and unfolding theory for linear coupled
cell networks (possibly with symmetry).