dorsal/arxiv
View SchemaControlled Hopf Bifurcation of a storage-ring free-electron laser
| Authors | Giovanni De Ninno, Duccio Fanelli |
|---|---|
| Categories | |
| ArXiv ID | physics/0401138 |
| URL | https://arxiv.org/abs/physics/0401138 |
| DOI | 10.1103/PhysRevLett.92.094801 |
| Journal | Phys.Rev.Lett.92:094801,2004 |
Abstract
Local bifurcation control is a topic of fundamental importance in the field of nonlinear dynamical systems. We discuss an original example within the context of storage-ring free-electron laser physics by presenting a new model that enables analytical insight into the system dynamics. The transition between the stable and the unstable regimes, depending on the temporal overlapping between the light stored in the optical cavity and the electrons circulating into the ring, is found to be a Hopf bifurcation. A feedback procedure is implemented and shown to provide an effective stabilization of the unstable steady state.
{
"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
}