{
  "aliases": null,
  "backlinks": [
    {
      "field": "defines",
      "target": "01DSNP0B4R"
    }
  ],
  "body": "\n## Summary\n\nLet a point that is not an equilibrium return to itself after a fixed positive time. Its orbit is a periodic orbit of the dynamical system.\nFor an autonomous differential equation, it is the closed curve traced by a non-constant periodic solution. See the [[definition|01DSNP0B4R]].\n",
  "commit": "6ac761d40018146541484a9e8b9eafd6ecc303dc",
  "front": {
    "kind": "concept",
    "msc": [
      "37C27"
    ],
    "name": "Periodic orbit",
    "sources": [
      {
        "locator": "Dynamical system",
        "url": "https://en.wikipedia.org/wiki/Periodic_point"
      }
    ],
    "tag": "0AA97XA70K"
  },
  "kind": "concept",
  "link": "https://math2.tamnd.com/node/0AA97XA70K/",
  "links": null,
  "markdown": "https://math2.tamnd.com/node/0AA97XA70K.md",
  "msc": [
    "37C27"
  ],
  "name": "Periodic orbit",
  "prov": null,
  "role": "",
  "source": "https://github.com/tamnd/math2/blob/main/nodes/0AA/0AA97XA70K.md",
  "status": null,
  "tag": "0AA97XA70K",
  "uri": "m2://0AA97XA70K",
  "url": "https://math2.tamnd.com/wiki/periodic-orbit/",
  "writing": {
    "tag": "0AA97XA70K",
    "kind": "concept",
    "level": "W0",
    "next": [
      {
        "what": "an inventory row",
        "note": "the row of the inventory that the node accounts for",
        "have": 0,
        "want": 1
      }
    ]
  }
}
