聖塔非研究所

摘要 When describing complex interconnected systems, o

2021-08-26 · 已發表論文 · 更新 2026/08/30 下午12:48

摘要 When describing complex interconnected systems, one often has to go beyond the standard 網絡 description to account for generalized interactions. Here, we establish a unified framework to s…

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論文資訊

  • 類型:已發表論文
  • 日期:2021-08-26

摘要

When describing complex interconnected systems, one often has to go beyond the standard 網絡 description to account for generalized interactions. Here, we establish a unified framework to simplify the stability analysis of cluster 同步化 patterns for a wide range of generalized 網絡s, including hypergraphs, multilayer 網絡s, and temporal 網絡s. The framework is based on finding a simultaneous block diagonalization of the matrices encoding the 同步化 pattern and the 網絡 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 複雜系統s with general

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