{
  "id": "1012.1758",
  "version": "v1",
  "published": "2010-12-08T13:29:45.000Z",
  "updated": "2010-12-08T13:29:45.000Z",
  "title": "Forced Nonlinear Resonance in a System of Coupled Oscillators",
  "authors": [
    "Sergei Glebov",
    "Oleg Kiselev",
    "Nikolai Tarkhanov"
  ],
  "comment": "17 pages, 11 figures",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.CD",
    "nlin.SI"
  ],
  "abstract": "We consider a resonantly perturbed system of coupled nonlinear oscillators with small dissipation and outer periodic perturbation. We show that for the large time $t \\sim \\epsilon^{-2}$ one component of the system is described in the main by the inhomogeneous Mathieu equation while the other component represents pulsation of large amplitude. A Hamiltonian system is obtained which describes the behaviour of the envelope in the main. The analytic results agree to numerical simulations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2010-12-08T13:29:45.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "70K30",
      "34E10",
      "05.45.Xt",
      "02.60.Lj"
    ],
    "keywords": [
      "forced nonlinear resonance",
      "coupled oscillators",
      "outer periodic perturbation",
      "analytic results agree",
      "component represents pulsation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1063/1.3578047",
      "journal": "Chaos",
      "year": 2011,
      "month": "Jun",
      "volume": 21,
      "number": 2,
      "pages": "023109"
    },
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011Chaos..21b3109G"
    }
  }
}