{
  "id": "1311.3872",
  "version": "v1",
  "published": "2013-11-15T15:17:31.000Z",
  "updated": "2013-11-15T15:17:31.000Z",
  "title": "Lyapunov functions, shadowing, and topological stability",
  "authors": [
    "Alexey A. Petrov",
    "Sergei Yu. Pilyugin"
  ],
  "comment": "11 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We use Lyapunov type functions to give new conditions under which a homeomorphism of a compact metric space has the shadowing property. These conditions are applied to establish the topological stability of some homeomorphisms with nonhyperbolic behavior.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-11-15T15:17:31.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "topological stability",
      "lyapunov functions",
      "lyapunov type functions",
      "compact metric space",
      "nonhyperbolic behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 11,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1311.3872P"
    }
  }
}