{
  "id": "1310.0496",
  "version": "v2",
  "published": "2013-10-01T21:32:43.000Z",
  "updated": "2013-11-15T15:01:00.000Z",
  "title": "Shadowing near nonhyperbolic fixed points",
  "authors": [
    "Alexey A. Petrov",
    "Sergei Yu. Pilyugin"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We use Lyapunov type functions to find conditions of finite shadowing in a neighborhood of a nonhyperbolic fixed point of a one-dimensional or two-dimensional homeomorphism or diffeomorphism. A new concept of shadowing in which we control the size of one-step errors is introduced in the case of a nonisolated fixed point.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-11-15T15:01:00.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonhyperbolic fixed point",
      "lyapunov type functions",
      "two-dimensional homeomorphism",
      "one-step errors",
      "one-dimensional"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.0496P"
    }
  }
}