{
  "annotation_id": "f057ffd7-a1dd-46dc-8394-7297483c33c3",
  "date_created": "2026-03-02T18:00:46.562000Z",
  "date_modified": "2026-03-02T18:00:46.562000Z",
  "file_hash": "13e51d27b21b361c275016ce1b211019faf6f3eb667e0331f8e690931be57cc5",
  "private": false,
  "record": {
    "abstract": "We study the classical electron scattering from a driven inverted Gaussian\npotential, an open system, in terms of its chaotic invariant set. This chaotic\ninvariant set is described by a ternary horseshoe construction on an\nappropriate Poincare surface of section. We find the development parameters\nthat describe the hyperbolic component of the chaotic invariant set. In\naddition, we show that the hierarchical structure of the fractal set of\nsingularities of the scattering functions is the same as the structure of the\nchaotic invariant set. Finally, we construct a symbolic encoding of the\nhierarchical structure of the set of singularities of the scattering functions\nand use concepts from the thermodynamical formalism to obtain one of the\nmeasures of chaos of the fractal set of singularities, the topological entropy.",
    "arxiv_id": "physics/0309083",
    "authors": [
      "A. Emmanouilidou",
      "C. Jung",
      "L. E. Reichl"
    ],
    "categories": [
      "physics.class-ph"
    ],
    "doi": "10.1103/PhysRevE.68.046207",
    "journal_ref": "Phys. Rev. E, 68, 46207 (2003)",
    "title": "Classical Scattering for a driven inverted Gaussian potential in terms   of the chaotic invariant set",
    "url": "https://arxiv.org/abs/physics/0309083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1da92e4d-be2d-4a09-a794-0fbf9c565a11",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}