A Necessary and Sufficient Condition for Complete phase synchronization of high-dimensional nonidentical Kuramoto oscillators
Dynamical Systems
2022-08-23 v1
Abstract
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.
Keywords
Cite
@article{arxiv.2208.09995,
title = {A Necessary and Sufficient Condition for Complete phase synchronization of high-dimensional nonidentical Kuramoto oscillators},
author = {Yushi Shi and Ting Li and Jiandong Zhu},
journal= {arXiv preprint arXiv:2208.09995},
year = {2022}
}