论文标题
具有高阶，多层和时间相互作用的广义网络中同步模式的统一处理
Unified treatment of synchronization patterns in generalized networks with higher-order, multilayer, and temporal interactions
论文作者
论文摘要
在描述复杂的互连系统时，通常必须超越标准网络描述才能说明广义交互。在这里，我们建立了一个统一的框架，以简化各种广义网络的集群同步模式的稳定性分析，包括HyperGraphs，多层网络和时间网络。该框架基于找到编码同步模式和网络拓扑的矩阵的同时块对角线化。作为一种应用，我们使用同时块对角度化来揭示仅在存在高阶相互作用的情况下才出现的有趣类型的嵌合体状态。此处建立的统一框架可以扩展到其他动态过程，并可以促进在具有广义相互作用的复杂系统中发现新兴现象。
When describing complex interconnected systems, one often has to go beyond the standard network description to account for generalized interactions. Here, we establish a unified framework to simplify the stability analysis of cluster synchronization patterns for a wide range of generalized networks, including hypergraphs, multilayer networks, and temporal networks. The framework is based on finding a simultaneous block diagonalization of the matrices encoding the synchronization pattern and the network topology. As an application, we use simultaneous block diagonalization to unveil an intriguing type of chimera states that appear only in the presence of higher-order interactions. The unified framework established here can be extended to other dynamical processes and can facilitate the discovery of emergent phenomena in complex systems with generalized interactions.
