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原文連結
論文資訊
- 類型：已發表論文
- 日期：2021
摘要
We study cluster 同步化 (a type of 同步化 where different groups of oscillators in the system follow distinct synchronized trajectories) on hypergraphs, where hyperedges correspond to higher order interactions between the nodes. Specifically, we focus on how to determine admissible 同步化 patterns from the hypergraph structure by clustering its nodes based on the input they receive from the rest of the system, and how the hypergraph structure together with the pattern of cluster 同步化 can be used to simplify the stability analysis. We formulate our results in terms of external equitable partitions but show how symmetry considerations can also be used. In both cases, our analysis requires considering the partitions of hyperedges into edge clusters that are induced by the node clusters. This formulatio
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