Synchronization as a typical collective phenomenon emerges in many complex systems, and has attracted world-wide attention from science, engineering, sociology, and so forth. With the fast rising and development of network science, the Kuramoto-oscillator model is becoming one of the most pervasive paradigms for investigating collective synchronous behaviors. This review collects the latest advances of synchronization of Kuramoto-oscillator networks as well as several applications, such as locking of circuit oscillators, frequency synchronization in power grids, collective motion of self-propelled vehicles, and opinion synchronization in social networks. Besides, we specially address the intra-layer and inter-layer synchronization of multi-layer Kuramoto-oscillator networks, along with the stability analysis of Kuramoto-oscillator networkvs with and without control. Finally, we conclude this review with the discussions on some potential future directions for Kuramotooscillator networks.

中文翻译：

---

Kuramoto-Oscillator 网络的集体同步

同步作为一种典型的集体现象出现在许多复杂的系统中，引起了世界科学、工程、社会学等领域的广泛关注。随着网络科学的快速兴起和发展，仓本振荡器模型正成为研究集体同步行为最普遍的范式之一。这篇综述收集了仓本振荡器网络同步的最新进展以及一些应用，例如电路振荡器的锁定、电网中的频率同步、自行式车辆的集体运动以及社交网络中的意见同步。此外，我们专门解决了多层 Kuramoto-oscillator 网络的层内和层间同步，以及 Kuramoto-oscillator networkvs 有控制和无控制的稳定性分析。最后，我们通过讨论 Kuramotooscillator 网络的一些潜在未来方向来结束本次审查。