{
  "id": "1203.4113",
  "version": "v1",
  "published": "2012-03-19T14:22:48.000Z",
  "updated": "2012-03-19T14:22:48.000Z",
  "title": "On phenomenon of scattering on resonances associated with discretisation of systems with fast rotating phase",
  "authors": [
    "Anatoly Neishtadt",
    "Tan Su"
  ],
  "comment": "10 pages, 5 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "Numerical integration of ODEs by standard numerical methods reduces a continuous time problems to discrete time problems. Discrete time problems have intrinsic properties that are absent in continuous time problems. As a result, numerical solution of an ODE may demonstrate dynamical phenomena that are absent in the original ODE. We show that numerical integration of system with one fast rotating phase lead to a situation of such kind: numerical solution demonstrate phenomenon of scattering on resonances that is absent in the original system.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-19T14:22:48.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "34F15",
      "34C29",
      "65D30"
    ],
    "keywords": [
      "fast rotating phase",
      "resonances",
      "discrete time problems",
      "continuous time problems",
      "discretisation"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1134/S1560354712030100",
      "journal": "Regular and Chaotic Dynamics",
      "year": 2012,
      "month": "May",
      "volume": 17,
      "number": "3-4",
      "pages": 359
    },
    "note": {
      "typesetting": "TeX",
      "pages": 10,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012RCD....17..359N"
    }
  }
}