{
  "id": "2203.11974",
  "version": "v1",
  "published": "2022-03-22T18:13:05.000Z",
  "updated": "2022-03-22T18:13:05.000Z",
  "title": "On the global behavior of linear flows",
  "authors": [
    "Fritz Colonius"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "For linear flows on vector bundles, it is analyzed when subbundles in the Selgrade decomposition yield chain transitive subsets for the induced flow on the associated Poincar\\'e sphere bundle.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-03-22T18:13:05.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B55",
      "93C15",
      "37B20"
    ],
    "keywords": [
      "linear flows",
      "global behavior",
      "decomposition yield chain transitive subsets",
      "selgrade decomposition yield chain transitive",
      "associated poincare sphere bundle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}