{
  "id": "1706.08185",
  "version": "v1",
  "published": "2017-06-25T23:03:59.000Z",
  "updated": "2017-06-25T23:03:59.000Z",
  "title": "Unfolding of nilpotent equilibria of degree 4 in Hamiltonian systems with 2 degrees of freedom",
  "authors": [
    "Giannis Moutsinas"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider Hamiltonian systems of two degrees of freedome having a nilpotent equilibrium point with only one eigenvector. We provide the universal unfolding of such equilibrium, provided a non-degeneracy condition holds. We show that the only co-dimension 1 bifurcations that happen in the unfolding are of two types: the normally hyperbolic or elliptic centre-saddle bifurcations and the supercritical Hamiltonian-Hopf bifurcation.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-25T23:03:59.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hamiltonian systems",
      "nilpotent equilibrium point",
      "elliptic centre-saddle bifurcations",
      "non-degeneracy condition holds",
      "supercritical hamiltonian-hopf bifurcation"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}