{
  "id": "1912.01872",
  "version": "v1",
  "published": "2019-12-04T10:03:01.000Z",
  "updated": "2019-12-04T10:03:01.000Z",
  "title": "A construction of patterns with many critical points on topological tori",
  "authors": [
    "Putri Zahra Kamalia",
    "Shigeru Sakaguchi"
  ],
  "comment": "17 pages",
  "categories": [
    "math.AP"
  ],
  "abstract": "We consider reaction-diffusion equations on closed surfaces in $\\mathbb R^3$ having genus $1$. Stable nonconstant stationary solutions are often called patterns. The purpose of this paper is to construct closed surfaces together with patterns having as many critical points as one wants.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-12-04T10:03:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "critical points",
      "topological tori",
      "construction",
      "stable nonconstant stationary solutions",
      "reaction-diffusion equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}