Sebastian van Strien (Imperial College London)
Dynamics on heterogenous networks
Networks in which some nodes are highly connected and others have low connectivity are ubiquitous (they are used to model the brain, the internet, cities etc). In this talk I will consider coupled dynamics on networks of this type. It turns out that weakly connected and highly connected nodes in this network often develop rather different kinds of dynamics, and that one can predict the behaviour for a time window which grows exponentially with the size of the network. These results are proved using ergodic theory and invariant manifolds. This work is joint with Matteo Tanzi and Tiago Pereira.