{
  "id": "2006.14369",
  "version": "v1",
  "published": "2020-06-23T04:38:46.000Z",
  "updated": "2020-06-23T04:38:46.000Z",
  "title": "Shadowing for codimension one sectional-Anosov flows",
  "authors": [
    "A. Arbieto",
    "A. M. López",
    "Y. Sánchez"
  ],
  "comment": "15 pages. arXiv admin note: text overlap with arXiv:1804.01412",
  "categories": [
    "math.DS"
  ],
  "abstract": "In hyperbolic dynamics, a well-known result is that every hyperbolic attracting set, have a finite pseudo-orbit tracing property (FPOTP). It's natural to wonder if this result is maintained in the sectional-hyperbolic dynamics; Komuro in [Lorenz attractors do not have the pseudo-orbit tracing property], provides a negative answer for this question, by proving that the geometric Lorenz Attractor doesn't have a FPOTP. In this paper, we generalized the result of Komuro, we prove that every codimension one sectional-hyperbolic attractor set with a unique singularity Lorenz-like, which is of boundary-type, does not have FPOTP.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-06-23T04:38:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "sectional-anosov flows",
      "codimension",
      "finite pseudo-orbit tracing property",
      "sectional-hyperbolic attractor set",
      "geometric lorenz attractor"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}