Seminar 3.3.17 Van Strien

Title: Heterogeneously coupled maps

Speaker: Sebastian Van Strien (Imperial College, London)

Abstract: Our main aim is to rigorously study dynamics of Heterogeneously Coupled Maps (HCM). Such systems are determined by a network with heterogeneous degrees. Some nodes, called hubs, are very well connected and most nodes interact with few others. The local dynamics on each node is chaotic, coupled with other nodes according to the network structure. Such systems are very hard to describe in full. Nevertheless we are able to describe the system over exponentially large time scales (in terms of the total number of nodes of the network). In particular, we show that the dynamics of hub nodes can be very well approximated by a low-dimensional system.