论文标题

高维非相同库拉莫托振荡器的完全相同步的必要条件

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

论文作者

Shi, Yushi, Li, Ting, Zhu, Jiandong

论文摘要

对于具有非相同振荡器的原始库拉莫托模型,无法实现完全同步。然而,本文揭示了对于具有非相同振荡器的大量高维库拉马托模型,可以实现完全同步。在紧密连接的挖掘拓扑的拓扑结构下,获得了完全相同步的必要条件。最后,提供了一些模拟来验证所获得的理论结果。

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.

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