论文标题
同步路径的组合
Combinatorics of the paths towards synchronization
论文作者
论文摘要
在本文中，我们介绍了对通过网络定义的同步流的同步路径的编纂。通往同步的路径的集合定义了组合结构：过渡图。我们描述了与完全连接图的拉普拉斯流相对应的过渡图。当考虑接近对角线的初始条件时，这适用于同一图的库拉莫托流。我们还提供了有关拉普拉斯和库拉莫托在完整的两部分图上流动的一些结果。
In this paper, we introduce a codification of the paths towards synchronization for synchronizing flows defined over a network. The collection of paths toward synchronization defines a combinatorial structure: the transition diagram. We describe the transition diagram corresponding to the Laplacian flow over the completely connected graph. This applies to the Kuramoto flow over the same graph when initial conditions close to the diagonal are considered. We present as well some results concerning the Laplacian and Kuramoto flows over the complete bipartite graph.
