{
  "annotation_id": "81a697bc-30be-48a7-b79f-f92f07ca3d48",
  "date_created": "2026-03-02T18:00:28.614000Z",
  "date_modified": "2026-03-02T18:00:28.614000Z",
  "file_hash": "2fc883015b20f49bd89f90d05e3a4d9c13904651392b7afc9fe823dc6674c91e",
  "private": false,
  "record": {
    "abstract": "We study coupled maps on a Cayley tree, with local (nearest-neighbor)\ninteractions, and with a variety of boundary conditions. The homogeneous state\n(where every lattice site has the same value) and the node-synchronized state\n(where sites of a given generation have the same value) are both shown to occur\nfor particular values of the parameters and coupling constants. We study the\nstability of these states and their domains of attraction. As the number of\nsites that become synchronized is much higher compared to that on a regular\nlattice, control is easier to effect. A general procedure is given to deduce\nthe eigenvalue spectrum for these states. Perturbations of the synchronized\nstate lead to different spatio-temporal structures. We find that a mean-field\nlike treatment is valid on this (effectively infinite dimensional) lattice.",
    "arxiv_id": "patt-sol/9505004",
    "authors": [
      "Prashant M. Gade",
      "Hilda A. Cerdeira",
      "R. Ramaswamy"
    ],
    "categories": [
      "patt-sol",
      "chao-dyn",
      "nlin.CD",
      "nlin.PS"
    ],
    "doi": "10.1103/PhysRevE.52.2478",
    "title": "Coupled Maps on Trees",
    "url": "https://arxiv.org/abs/patt-sol/9505004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1a270f47-a2b2-4535-b78d-2bdfa79f474b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}