Optimizing higher-order network topology for synchronization of coupled phase oscillators

Abstract Networks in nature have complex interactions among agents. One significant phenomenon induced by is synchronization of coupled agents, and the interactive network topology can be tuned to optimize synchronization. Previous studies showed that optimized conventional with pairwise favors a homogeneous degree distribution nodes for undirected interactions, always structurally asymmetric directed interactions. However, optimal control on prevailing higher-order less explored. Here, considering hypergraph Kuramoto model 2-hyperlink we find synchronizability may distinct properties. For networks simulated annealing tend become nodes’ generalized degree. We further rigorously demonstrate structural symmetry preserved optimally synchronizable The results suggest controlling leads phenomena beyond