{
  "id": "1412.0738",
  "version": "v1",
  "published": "2014-12-01T23:43:41.000Z",
  "updated": "2014-12-01T23:43:41.000Z",
  "title": "Birth of discrete Lorenz attractors at the bifurcations of 3D maps with homoclinic tangencies to saddle points",
  "authors": [
    "S. V. Gonchenko. I. I. Ovsyannikov",
    "J. C. Tatjer"
  ],
  "journal": "Regular and Chaotic Dynamics, 2014, Vol. 19, No. 4, pp. 495-505",
  "doi": "10.1134/S1560354714040054",
  "categories": [
    "math.DS"
  ],
  "abstract": "It was established in 2006 that bifurcations of three-dimensional diffeomorphisms with a homoclinic tangency to a saddle-focus fixed point with the Jacobian equal to 1 can lead to Lorenz-like strange attractors. In the present paper we prove an analogous result for three-dimensional diffeomorphisms with a homoclinic tangency to a saddle fixed point with the Jacobian equal to 1, provided the quadratic homoclinic tangency under consideration is non-simple.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-12-01T23:43:41.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37C05",
      "37G25",
      "37G35"
    ],
    "keywords": [
      "discrete lorenz attractors",
      "saddle points",
      "3d maps",
      "bifurcations",
      "jacobian equal"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Regular and Chaotic Dynamics",
      "year": 2014,
      "month": "Jul",
      "volume": 19,
      "number": 4,
      "pages": 495
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014RCD....19..495G"
    }
  }
}