复振荡器网络同步问题的研究
Exploring Synchronization in Complex Oscillator Networks
摘要：
耦合振荡器网络中同步的出现是从生物学、物理学和化学到社交网络和工程应用的各种科学学科中的普遍话题。耦合振子网络的特征在于由一群异质振子和描述振子之间相互作用的图。这两种成分产生了丰富的动态行为，不断吸引科学界。在这篇文章中，我们提出了一个教程介绍耦合振荡器网络，我们回顾了大量的文献理论和应用，我们提出了不同的同步概念，条件和分析方法的集合。我们集中讨论了在现实世界中无数的同步现象中出现的正则相位振荡器模型，并给出了它们丰富的唯象。我们回顾了一组与控制科学家相关的应用。我们探索不同的方法来相位和频率同步，我们提出了一个集合的同步条件和性能估计。对于所有的结果，我们提出了自包含的证明，说明了不同的分析方法在教程风格的样本。
英文摘要：
The emergence of synchronization in a network of coupled oscillators is a pervasive topic in various scientific disciplines ranging from biology, physics, and chemistry to social networks and engineering applications. A coupled oscillator network is characterized by a population of heterogeneous oscillators and a graph describing the interaction among the oscillators. These two ingredients give rise to a rich dynamic behavior that keeps on fascinating the scientific community. In this article, we present a tutorial introduction to coupled oscillator networks, we review the vast literature on theory and applications, and we present a collection of different synchronization notions, conditions, and analysis approaches. We focus on the canonical phase oscillator models occurring in countless real-world synchronization phenomena, and present their rich phenomenology. We review a set of applications relevant to control scientists. We explore different approaches to phase and frequency synchronization, and we present a collection of synchronization conditions and performance estimates. For all results we present self-contained proofs that illustrate a sample of different analysis methods in a tutorial style.
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。
