| Abstract: |
| Collective synchronization in the Kuramoto model has been widely studied, but the original model is defined on the unit circle and only includes pairwise interactions. In this presentation, based on [Huh and Kim, Chaos (2024), 123119], we study a high-dimensional Kuramoto model with both two-body and three-body interactions. Let $\kappa_1$ and $\kappa_2$ denote the corresponding interaction strengths. We show that complete synchronization can emerge if $\kappa_1+\kappa_2>0$, whereas it cannot occur if $\kappa_1+\kappa_2 |
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