Collective behaviour plays a central role in many biological, physical and social systems. A common modelling approach consists in describing these situations by interacting particle systems. Moreover, many systems exhibit an underlying network structure which describes the coupling between the particles and the corresponding strength. Often, this network structure is not fixed for all time but also evolves dynamically together with the particle system.
This talk addresses such adaptively coupled interacting systems when the number of particles is very large. More precisely, we start with a system of finitely many particles which is coupled to an evolution equation for the underlying network. Relying on the concept of graph convergence, we prove that for a large class of couplings the system can be approximated by a mean-field equation in the infinite particle limit.