On Wednesday 13th of December at 4pm in the MathLab, Bob Rink (VU Amsterdam) will give an Amsterdam Dynamics seminar.
The talk will take place in the Maryam seminar room (9A-46) and everyone is welcome to join for drinks at Bar Boele after the talk.
Title: What’s different about synchronization on hypernetworks?
Abstract: Many networked systems are governed by so-called higher order (non-pairwise) interactions. Such interactions can be encoded in terms of a hypernetwork. I will define a class of dynamical systems on hypernetworks, and will explain how to classify robust cluster synchronization patterns by finding balanced partitions. Next, I will show that synchronization in hypernetwork systems is determined by polynomial systems of high order. Hence, unlike in classical/dyadic networks, cluster synchronization on hypernetworks is a higher-order, nonlinear effect. It turns out that this leads to a remarkable type of “reluctant” synchrony breaking bifurcations in hypernetwork systems. This is joint work with Eddie Nijholt and Soeren von der Gracht.