{
  "annotation_id": "e233c713-04cb-402d-9f39-8944ba3c0a59",
  "date_created": "2026-03-02T18:00:53.353000Z",
  "date_modified": "2026-03-02T18:00:53.353000Z",
  "file_hash": "092c5bfb6df6904105d6c9105c4c5b8bd62c8c16549596f2f444b87b58bfc50f",
  "private": false,
  "record": {
    "abstract": "We give a hydrodynamical explanation for the chaotic behaviour of a dripping\nfaucet using the results of the stability analysis of a static pendant drop and\na proper orthogonal decomposition (POD) of the complete dynamics. We find that\nthe only relevant modes are the two classical normal forms associated with a\nSaddle-Node-Andronov bifurcation and a Shilnikov homoclinic bifurcation. This\nallows us to construct a hierarchy of reduced order models including maps and\nordinary differential equations which are able to qualitatively explain prior\nexperiments and numerical simulations of the governing partial differential\nequations and provide an explanation for the complexity in dripping. We also\nprovide a new mechanical analogue for the dripping faucet and a simple\nrationale for the transition from dripping to jetting modes in the flow from a\nfaucet.",
    "arxiv_id": "physics/0408096",
    "authors": [
      "P. Coullet",
      "L. Mahadevan",
      "C. S. Riera"
    ],
    "categories": [
      "physics.flu-dyn",
      "nlin.CD"
    ],
    "doi": "10.1017/S0022112004002307",
    "title": "Hydro-dynamical models for the chaotic dripping faucet",
    "url": "https://arxiv.org/abs/physics/0408096"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0ad2aae7-c319-4dbd-9fe5-85dd83f6d1c3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}