Synchronization induced by directed higher-order interactions
Adaptation and Self-Organizing Systems
2025-10-22 v2 Dynamical Systems
Chaotic Dynamics
Pattern Formation and Solitons
Abstract
Non-reciprocal interactions play a crucial role in many social and biological complex systems. While directionality has been thoroughly accounted for in networks with pairwise interactions, its effects in systems with higher-order interactions have not yet been explored as deserved. Here, we introduce the concept of M-directed hypergraphs, a general class of directed higher-order structures, which allow to investigate dynamical systems coupled through directed group interactions. As an application we study the synchronization of nonlinear oscillators on 1-directed hypergraphs, finding that directed higher-order interactions can destroy synchronization, but also stabilize otherwise unstable synchronized states.
Cite
@article{arxiv.2202.08707,
title = {Synchronization induced by directed higher-order interactions},
author = {Luca Gallo and Riccardo Muolo and Lucia Valentina Gambuzza and Vito Latora and Mattia Frasca and Timoteo Carletti},
journal= {arXiv preprint arXiv:2202.08707},
year = {2025}
}