{
  "annotation_id": "894f5a64-34c0-4078-a83f-fb773ce75a0b",
  "date_created": "2026-03-02T18:01:21.478000Z",
  "date_modified": "2026-03-02T18:01:21.478000Z",
  "file_hash": "7b029c7513d56327033ace7e5b76e6e04d740a99fcb0eacf88eca4b12b081cf2",
  "private": false,
  "record": {
    "abstract": "The concept of broken symmetry is used to study bifurcations of equilibria\nand dynamical instabilities in dynamic model of one-mode laser (nonresonant\ncomplex Lorenz model) on the basis of modified Hopf theory. It is shown that an\ninvariant set of stationary points bifurcates into an invariant torus\n(doubly-periodic branching solution). Influence of the symmetry breaking on\nstability of branching solutions is investigated as a function of detuning. The\ninvariant torus is found to be stable under the detuning exceeds its critical\nvalue, so that dynamically broken symmetry results in the apprearance of\nlow-frequency Goldstone-type mode. If the detuning then goes downward and\npumping is kept above the threshold, numerical analysis reveals that after a\ncascade of period-doublings the strange Lorenz attractor is formed at small\nvalues of detuning. It is found that there are three types of the system\nbehavior as pumping increases depending on the detuning. Quantum counterpart of\nthe complex Lorenz model is discussed.",
    "arxiv_id": "physics/9801018",
    "authors": [
      "Alexei D. Kiselev"
    ],
    "categories": [
      "physics.optics",
      "chao-dyn",
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "title": "Detuning Induced Effects: Symmetry-Breaking Bifurcations in Dynamic   Model of One-Mode Laser",
    "url": "https://arxiv.org/abs/physics/9801018"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b16573b9-8a53-4085-89e8-e72b9d215848",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}