{
  "annotation_id": "1f28a259-7b17-411e-bb5a-155635e121e7",
  "date_created": "2026-03-02T18:01:24.777000Z",
  "date_modified": "2026-03-02T18:01:24.777000Z",
  "file_hash": "743d1ca2e0f58639a8108c871037b4827380946b27d31bf8a267c976f09d3478",
  "private": false,
  "record": {
    "abstract": "We discuss a piecewise-conserved constant of motion for a simple dissipative\noscillatory mechanical system. The system is a harmonic oscillator with sliding\n(dry) friction. The piecewise-conserved constant of motion corresponds to the\ntime average of the energy of the system during one half-period of the motion,\nand changes abruptly at the turning points of the motion. At late times the\npiecewise-conserved constant of motion degenerates to a constant of motion in\nthe usual sense.",
    "arxiv_id": "physics/9905057",
    "authors": [
      "Lior M. Burko"
    ],
    "categories": [
      "physics.ed-ph",
      "physics.class-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1088/0143-0807/20/4/306",
    "journal_ref": "Eur. J. Phys. 20, 281-288 (1999)",
    "title": "A Piecewise-Conserved Constant of Motion for a Dissipative System",
    "url": "https://arxiv.org/abs/physics/9905057"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3d091a50-a0aa-44dc-9eed-f90b16635062",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}