{
  "abstract": "We study charged-particle dynamics under a non-Lipschitz velocity-dependent force with magnetic and damping effects, focusing on continuation through zero velocity and chaos in the velocity direction. For a time-independent directional force and fixed parameters, we introduce a $C^1$ regularization. When an unregularized trajectory reaches zero velocity in finite time, inner rescaling yields convergence to a reference orbit within the regularization ball, while the regularized trajectories converge locally uniformly outside it to a unique continuation. For the directional dynamics, stereographic projection yields a parameterized Euclidean system. By choosing the skew-symmetric magnetic part, we obtain a nonautonomous parameterized center manifold reduction with a prescribed finite Taylor jet. Under an additional factorization assumption, the reduced dynamics admits Shilnikov homoclinic orbits and associated chaos.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.01699",
  "author_total": 3,
  "authors": [
    {
      "name": "Linhao Chen"
    },
    {
      "name": "Yong Li"
    },
    {
      "name": "Weiping Yan"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d35sjnnc2p7gn.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.01699",
  "fulltext_url": null,
  "id": "d35sjnnc2p7gn",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.01699",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.AP"
    ],
    [
      "arxiv",
      "math.DS"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.01699",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d35sjnnc2p7gn.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:10Z",
      "native_id": "2611.01699",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.01699"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "Chaotic Dynamics of Charged Particles in Magnetic Fields with Singular Forces",
  "title_text": "Chaotic Dynamics of Charged Particles in Magnetic Fields with Singular Forces",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:22Z",
  "url": "https://research.draconitic.com/paper/d35sjnnc2p7gn",
  "venue": "arXiv",
  "versions": []
}