Synchronization induced by directed higher-order interactions

Abstract Non-reciprocal interactions play a crucial role in many social and biological complex systems. While directionality has been thoroughly accounted for networks with pairwise interactions, its effects systems higher-order have not yet explored as deserved. Here, we introduce the concept of M -directed hypergraphs, general class directed structures, which allows to investigate dynamical coupled through group interactions. As an application study synchronization nonlinear oscillators on 1-directed finding that can destroy synchronization, but also stabilize otherwise unstable synchronized states.