The aim of the SEND project is to study Synchronization in co-Evolutionary Network Dynamics. Co-evolutionary (or adaptive) dynamics describes the interplay between dynamics of and on the network. Synchronization is a fundamental effect modeled via frequency-locked or phase-locked dynamics of subsets of nodes.

In this project we are going to develop and analyze co-evolutionary extensions to the Kuramoto model, which is classically posed on a fixed network structure. The new Kuramoto variants are directly motivated by coupled socio-biological systems. We are going to analyze these new models using techniques from mathematical multiscale dynamics, bifurcation theory, non-equilibrium statistical physics, complex networks, and graph limits. Furthermore, we have several multi-layered socio-biological network data sets available to compare our results to regarding model development and benchmarking.