{
  "annotation_id": "5e41e73e-c080-4a24-a958-c0a0fb5810dd",
  "date_created": "2026-03-02T18:02:50.569000Z",
  "date_modified": "2026-03-02T18:02:50.569000Z",
  "file_hash": "8c59565621980c175b4715262bb8f0614d137d0414f5cc1bb8c1ea51306916f2",
  "private": false,
  "record": {
    "abstract": "We prove the non-integrability (non-existence of additional analytic\nconserved quantities other than Hamiltonian) for Fermi-Pasta-Ulam (FPU)\nlattices by virtue of Lyapunov-Kovalevskaya- -Ziglin-Yoshida\u0027s monodromy method\nabout the variational equations. The key to this analysis is that the normal\nvariational equations along a certain solution happen to be in a type of Lam\\\u0027e\nequations. We also introduce the classification problem towards non-homogeneous\nnonlinear lattices including FPU lattices using non-integrability preserving\ntransformation.",
    "arxiv_id": "solv-int/9603012",
    "authors": [
      "Ken Umeno"
    ],
    "categories": [
      "solv-int",
      "nlin.SI"
    ],
    "doi": "10.1016/0167-2789(96)88314-X",
    "journal_ref": "Physica D94(1996)116-134.",
    "title": "Non-perturbative non-integrability of non-homogeneous nonlinear lattices   induced by non-resonance hypothesis",
    "url": "https://arxiv.org/abs/solv-int/9603012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e3c798d2-c027-4e7b-b1cf-cc55aec447c8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}