摘要 In the study of dynamical systems on 網絡s/graphs,

本頁只刊出中文翻譯與中文說明；英文原文請見下方原文連結。

原文連結

• SFI 頁面

論文資訊

• 類型：已發表論文
• 日期：2020

摘要

In the study of dynamical systems on 網絡s/graphs, a key theme is how the 網絡 topology influences stability for steady states or synchronized states. Ideally, one would like to derive conditions for stability or instability that instead of microscopic details of the individual nodes/vertices rather make the influence of the 網絡 coupling topology visible. The master stability function is an important such tool to achieve this goal. Here we generalize the master stability approach to hypergraphs. A hypergraph coupling structure is important as it allows us to take into account arbitrary higher-order interactions between nodes. As for instance in the theory of coupled map lattices, we study Laplace type interaction structures in detail. Since the spectral theory of Laplacians on hypergraphs is ri

※ 此為已發表論文，全文需透過期刊付費取得