{
  "id": "0909.4354",
  "version": "v1",
  "published": "2009-09-24T02:47:22.000Z",
  "updated": "2009-09-24T02:47:22.000Z",
  "title": "Bifurcation of asymptotically stable periodic solutions in nearly impact oscillators",
  "authors": [
    "O. Makarenkov",
    "F. Verhulst"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "We use an averaging approach to prove bifurcation of asymptotically stable periodic solutions in a bi-linear oscillator whose one spring has nearly infinite stiffness. This leads to a singularly perturbed problem where the classical theory does not apply.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-09-24T02:47:22.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65L11",
      "93D20",
      "70K65",
      "74M20"
    ],
    "keywords": [
      "asymptotically stable periodic solutions",
      "impact oscillators",
      "bifurcation",
      "bi-linear oscillator",
      "infinite stiffness"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0909.4354M"
    }
  }
}