Symmetry-based selection rules for higher-order interactions in coupled oscillators

Iván Léon, Riccardo Muolo, Yuanzhao Zhang +1

Pairwise interactions among general nonlinear oscillators can be reduced, via phase reduction, to a Kuramoto-type phase coupling $\sin (-\hat{I}{¸}_j+\hat{I}{¸}_k)$. For higher-order interactions…