{
  "annotation_id": "dcfe06fd-d43e-462e-b3eb-506d0b7bff52",
  "date_created": "2026-03-02T18:00:49.116000Z",
  "date_modified": "2026-03-02T18:00:49.116000Z",
  "file_hash": "8337e99ae3da8c0ddb8ad9e1ebb7124d424a18ec8fdc50592947d1698a3b7f5b",
  "private": false,
  "record": {
    "abstract": "Local bifurcation control is a topic of fundamental importance in the field\nof nonlinear dynamical systems. We discuss an original example within the\ncontext of storage-ring free-electron laser physics by presenting a new model\nthat enables analytical insight into the system dynamics. The transition\nbetween the stable and the unstable regimes, depending on the temporal\noverlapping between the light stored in the optical cavity and the electrons\ncirculating into the ring, is found to be a Hopf bifurcation. A feedback\nprocedure is implemented and shown to provide an effective stabilization of the\nunstable steady state.",
    "arxiv_id": "physics/0401138",
    "authors": [
      "Giovanni De Ninno",
      "Duccio Fanelli"
    ],
    "categories": [
      "physics.optics",
      "cond-mat.dis-nn"
    ],
    "doi": "10.1103/PhysRevLett.92.094801",
    "journal_ref": "Phys.Rev.Lett.92:094801,2004",
    "title": "Controlled Hopf Bifurcation of a storage-ring free-electron laser",
    "url": "https://arxiv.org/abs/physics/0401138"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b0fc2b81-9ce5-4645-a644-66dfe7a78a37",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}