{
  "id": "1112.4276",
  "version": "v1",
  "published": "2011-12-19T09:31:25.000Z",
  "updated": "2011-12-19T09:31:25.000Z",
  "title": "Dynamics near nonhyperbolic fixed points or nontransverse homoclinic points",
  "authors": [
    "Sergey Kryzhevich",
    "Sergei Pilyugin"
  ],
  "comment": "Submitted to Mathematics and Computers in Simulation",
  "categories": [
    "math.DS"
  ],
  "abstract": "We study dynamics in a neighborhood of a nonhyperbolic fixed point or an irreducible homoclinic tangent point. General type conditions for the existence of infinite sets of periodic points are obtained. A new method, based on the study of the dynamics of center disks, is introduced. Some results on shadowing near a non-hyperbolic fixed point of a homeomorphism are obtained.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-12-19T09:31:25.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "nonhyperbolic fixed point",
      "nontransverse homoclinic points",
      "irreducible homoclinic tangent point",
      "general type conditions",
      "center disks"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1112.4276K"
    }
  }
}