Self-consistent analysis of the Kuramoto model with higher-order interactions (opens in new tab)

The Kuramoto model with higher-order interactions has recently been shown to exhibit bistability, explosive synchronization transitions, and rich collective dynamics. Existing analytical approaches, however, typically rely on all-to-all coupling or mean-field approximations of the underlying hypergraph structure. While these methods describe typical networks in the thermodynamic limit, they generally fail to capture the effects of finite hyper...