{
  "id": "2212.08314",
  "version": "v1",
  "published": "2022-12-16T07:33:21.000Z",
  "updated": "2022-12-16T07:33:21.000Z",
  "title": "Synchronization-preserving clusters in hypergraphs",
  "authors": [
    "Anirban Banerjee",
    "Samiron Parui"
  ],
  "comment": "9 Pages",
  "categories": [
    "math.CO",
    "math.DS"
  ],
  "abstract": "Various dynamical networks show synchronized clusters. A synchronization-preserving cluster retains synchronization in subsequent times once it synchronizes. Here we attempt to identify synchronization-preserving clusters in a hypergraph those exhibit cluster synchronization. In addition, we analyze the stability of synchronization in those clusters.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-12-16T07:33:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05C65",
      "34D06",
      "05C50",
      "05C69",
      "05C07",
      "05C82"
    ],
    "keywords": [
      "hypergraph",
      "synchronization-preserving cluster retains synchronization",
      "subsequent times",
      "cluster synchronization",
      "dynamical networks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 9,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}