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原文連結
論文資訊
- 類型：已發表論文
- 日期：2021
摘要
Coupled map lattices (CMLs) are prototypical dynamical systems on 網絡s/graphs. They exhibit complex patterns generated via the interplay of diffusive/Laplacian coupling and 非線性 reactions modelled by a single iterated map at each node; the maps are often taken as unimodal, e.g., logistic or tent maps. In this letter, we propose a class of higher-order coupled dynamical systems involving the hypergraph Laplacian, which we call hypergraph coupled maps. By combining linearized (in- )stability analysis of synchronized states, hypergraph spectral theory, and numerical methods, we detect robust regions of chaotic cluster 同步化 occurring in parameter space upon varying coupling strength and the main 分岔 parameter of the unimodal map. Furthermore, we find key differences between Laplacian and hypergrap
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