2022/08/22 by Yushi Shi, Ting Li, Shi, Yushi +3
Computer Science · #Nonlinear Dynamics and Pattern Formation
paper · pdf · doi:10.48550/arxiv.2208.09995
For original Kuramoto models with nonidentical oscillators, it is impossible to realize complete phase synchronization. However, this paper reveals that complete phase synchronization can be achieved for a large class of high-dimensional Kuramoto models with nonidentical oscillators. Under the topology of strongly connected digraphs, a necessary and sufficient condition for complete phase synchronization is obtained. Finally, some simulations are provided to validate the obtained theoretic results.