{
  "abstract": "We consider the autonomous system $\\ddot{q}+\\nabla V(q)=0$ in an arbitrary finite-dimensional Euclidean space. The potential is assumed to be even, nonnegative and of class $C^2$, to satisfy $V(x)=o(|x|^2)$ at the origin, and the Ambrosetti--Rabinowitz superquadratic inequality outside a ball. We prove that, for every prescribed $T>0$, the system has a nonconstant solution with $T$ being its minimal positive period.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.29496",
  "author_total": 2,
  "authors": [
    {
      "name": "Huagui Duan"
    },
    {
      "name": "Yan Wu"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/40jvzt2ybm4fk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.29496",
  "fulltext_url": null,
  "id": "40jvzt2ybm4fk",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.29496",
  "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",
      "2604|Nonlinear Partial Differential Equations"
    ]
  ],
  "openalex": "W7223212270",
  "pdf_url": "https://arxiv.org/pdf/2610.29496",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-21",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/40jvzt2ybm4fk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:34:22Z",
      "native_id": "2610.29496",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.29496"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "The minimal period solution of Hamiltonian systems with even potentials",
  "title_text": "The minimal period solution of Hamiltonian systems with even potentials",
  "type": "preprint",
  "updated_at": "2026-10-30T12:34:22Z",
  "url": "https://research.draconitic.com/paper/40jvzt2ybm4fk",
  "venue": "arXiv",
  "versions": []
}