复杂振荡器网络和智能电网中的同步
Synchronization in Complex Oscillator Networks and Smart Grids
摘要：
耦合振子网络中同步现象的出现是各个科学学科中的一个有趣的话题。耦合振子网络的特征是由一群异质振子和描述它们之间相互作用的图来描述。众所周知，一个强耦合和足够均匀的网络是不相干的，但从不相干到同步的确切阈值是未知的。在这里，我们提出了一个新的，简洁的，和封闭形式的条件完全非线性，非平衡，动态网络的同步。我们的同步条件可以优雅地表示在网络拓扑结构和参数方面，或者等价地表示在直观的、线性的和静态的辅助系统方面。我们的研究结果显着改善现有的条件，迄今为止，他们是可证明的各种有趣的网络拓扑结构和参数的准确性，他们是统计正确的几乎所有的网络，他们可以同样适用于同步现象所产生的物理和生物学以及工程振荡器网络，如电力网络。我们说明了我们的结果在复杂的网络场景和智能电网应用的有效性，准确性和实用性。
英文摘要：
The emergence of synchronization in a network of coupled oscillators is a fascinating topic in various scientific disciplines. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing the interaction among them. It is known that a strongly coupled and sufficiently homogeneous network synchronizes, but the exact threshold from incoherence to synchrony is unknown. Here we present a novel, concise, and closed-form condition for synchronization of the fully nonlinear, non-equilibrium, and dynamic network. Our synchronization condition can be stated elegantly in terms of the network topology and parameters, or equivalently in terms of an intuitive, linear, and static auxiliary system. Our results significantly improve upon the existing conditions advocated thus far, they are provably exact for various interesting network topologies and parameters, they are statistically correct for almost all networks, and they can be applied equally to synchronization phenomena arising in physics and biology as well as in engineered oscillator networks such as electric power networks. We illustrate the validity, the accuracy, and the practical applicability of our results in complex networks scenarios and in smart grid applications.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
