{
  "id": "1703.10635",
  "version": "v1",
  "published": "2017-03-30T18:44:02.000Z",
  "updated": "2017-03-30T18:44:02.000Z",
  "title": "Projections of Periodic Functions and Mode Interactions",
  "authors": [
    "Sofia S. B. S. D. Castro",
    "Isabel S. Labouriau",
    "Juliane F. Oliveira"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We study solutions of bifurcation problems with periodic boundary conditions, with periods in an $n+1$-dimensional lattice and their projection into $n$-dimensional space through integration of the last variable. We show that generically the projection of a single mode solution is a mode interaction. This can be applied to the study of black-eye patterns.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-03-30T18:44:02.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37G40"
    ],
    "keywords": [
      "mode interaction",
      "periodic functions",
      "projection",
      "periodic boundary conditions",
      "single mode solution"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}