{
  "id": "2308.05824",
  "version": "v1",
  "published": "2023-08-10T18:49:47.000Z",
  "updated": "2023-08-10T18:49:47.000Z",
  "title": "Shadowing in non-compact spaces with a global attractor",
  "authors": [
    "Gonzalo Cousillas"
  ],
  "comment": "8 pages, 0 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "This paper studies the behavior of dynamical systems in non-compact spaces, specifically focusing on the concepts of global attractors and shadowing. Let $K$ be a compact global attractor. We show that the shadowing property holds in certain types of dynamical systems in non-compact spaces if and only if $K$ is trivial.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-08-10T18:49:47.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "non-compact spaces",
      "compact global attractor",
      "dynamical systems",
      "shadowing property holds",
      "paper studies"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}