{
  "annotation_id": "124ebfc9-8045-47ea-954c-d2838de99898",
  "date_created": "2026-03-02T18:00:38.969000Z",
  "date_modified": "2026-03-02T18:00:38.969000Z",
  "file_hash": "dc825fc70594cf907ab7d9862aaa90f4bc027e6d4583a81cd5e7d91ee8fe9714",
  "private": false,
  "record": {
    "abstract": "We present initial results regarding the existence, stability and interaction\nof linear and nonlinear vibrational modes in a system of two coupled, one\ndimensional lattices with unequal numbers of masses. The effects on these\nnonlinear modes of coupling a near continuum system to a discrete system using\na nonlinear coupling are examined. This numerical model is a first step towards\ninvestigating the dynamical behavior of a flexible sheet coupled nonlinearly to\na semi-rigid support, a system which could conceivably represent a biological\ncell membrane with a supporting protein network. General implications for the\ndynamical behavior of continuum systems coupled nonlinearly to discrete systems\nare introduced.",
    "arxiv_id": "physics/0201005",
    "authors": [
      "Kyle Forinash"
    ],
    "categories": [
      "physics.bio-ph",
      "physics.comp-ph"
    ],
    "title": "Coupled multi-component systems: A Simple Membrane Model",
    "url": "https://arxiv.org/abs/physics/0201005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e9a3d4d1-cce0-48ed-8b2e-429e58195b6d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}