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arXiv:2404.16715v1 Announce Type: new
Abstract: The study of higher order interactions in the dynamics of Kuramoto oscillators has been a topic of intense recent research. Arguments based on dimensional reduction using the Ott-Antonsen ansatz show that such interactions usually facilitate synchronization, giving rise to bi-stability and hysteresis. Here we show that three body interactions shift the critical coupling for synchronization towards higher values in all dimensions, except D=2, where a cancellation occurs. After the transition, three and four body interactions combine to facilitate synchronization. We show simulations in D=3 and 4 to illustrate the dynamics.
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