{
  "abstract": "We prove that linear momentum escape is generic in the $C^{1,α}$ topology for smooth potential perturbations of exact symplectic twist maps, for every $0<α<1$. We assume a $C^2$ generating function, a uniform twist condition, and uniform upper bounds on $D_{11}S$ and $D_{22}S$. For an open dense set of potentials, every sufficiently small momentum drift is realized by an orbit. This genericity result does not extend in general to the $C^2$ topology. We give examples with no nonzero linear drift under $C^2$-small perturbations in every dimension. In dimension one, a second example has bounded momentum along every orbit under $C^2$-small perturbations.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.00254",
  "author_total": 1,
  "authors": [
    {
      "name": "Jianxing Du"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/b5r1vvs8nmx2v.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.00254",
  "fulltext_url": null,
  "id": "b5r1vvs8nmx2v",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.00254",
  "language": null,
  "licence": "CC0-1.0",
  "licence_label": "CC0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/publicdomain/zero/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.00254",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/b5r1vvs8nmx2v.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.00254",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.00254"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Generic Linear Momentum Escape for Twist Maps",
  "title_text": "Generic Linear Momentum Escape for Twist Maps",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/b5r1vvs8nmx2v",
  "venue": "arXiv",
  "versions": []
}