{
  "id": "1104.4052",
  "version": "v1",
  "published": "2011-04-20T15:09:43.000Z",
  "updated": "2011-04-20T15:09:43.000Z",
  "title": "Noise synchronisation and stochastic bifurcations in lasers",
  "authors": [
    "Sebastian M. Wieczorek"
  ],
  "comment": "14 pages, 10 figures",
  "categories": [
    "math.DS",
    "nlin.CD"
  ],
  "abstract": "This paper studies noise synchronisation in terms of random pullback attractors and their instabilities. We consider an ensemble of uncoupled lasers, each being a limit-cycle oscillator, which are driven by the same external white Gaussian noise. As the external-noise strength increases, there is an onset of synchronization and then subsequent loss of synchrony. Local analysis of the laser equations shows that synchronization becomes unstable via stochastic bifurcation to a random strange attractor. The locus of this bifurcation is calculated in the three-dimensional parameter space defined by the Hopf parameter, amount of amplitude-phase coupling or shear, and external-noise strength. The analysis uncovers a square-root law for this stochastic bifurcation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-04-20T15:09:43.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37H20"
    ],
    "keywords": [
      "stochastic bifurcation",
      "external white gaussian noise",
      "paper studies noise synchronisation",
      "external-noise strength increases",
      "random pullback attractors"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1104.4052W"
    }
  }
}