Collective dynamics on higher-order networks

Abstract

Higher-order interactions that nonlinearly couple more than two nodes are important in many networked systems, and their effects on collective dynamics are increasingly being studied. Here, we provide an overview of this rapidly growing field and of the techniques that can be used to describe and analyse them. We focus in particular on new phenomena and challenges that emerge when non-pairwise interactions are considered. We conclude by discussing open questions and promising future directions on the collective dynamics of higher-order networks. This Review surveys how higher-order interactions, which link more than two units at a time, reshape collective dynamics in complex systems. New synchronization phenomena, analytical frameworks and emerging methods to reduce or infer higher-order structure from data, are highlighted.