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For original Kuramoto models with nonidentical oscillators, it is impossibleto realize complete phase synchronization. However, this paper reveals thatcomplete phase synchronization can be achieved for a large class ofhigh-dimensional Kuramoto models with nonidentical oscillators. Under thetopology of strongly connected digraphs, a necessary and sufficient conditionfor complete phase synchronization is obtained. Finally, some simulations areprovided to validate the obtained theoretic results.

A Necessary and Sufficient Condition for Complete phase synchronization of high-dimensional nonidentical Kuramoto oscillators