{
  "abstract": "This paper analyzes the stochastic dynamics of a two-link pendulum that models lower limb segments (the thigh and shank) during the swing phase of the gait cycle. We describe the model using a system of non-linear Ito stochastic differential equations in a four-dimensional phase space under both external and internal random perturbations.We perform a spectral analysis of the discrete Kolmogorov operator, compute the stationary invariant measure, and estimate diffusion parameters using Neural Stochastic Differential Equations (Neural SDEs).",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.18509",
  "author_total": 3,
  "authors": [
    {
      "name": "S. S. Gavryushin"
    },
    {
      "name": "I. A. Meshchihin"
    },
    {
      "name": "S. S. Minkov"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/fydhtctesx052.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.18509",
  "fulltext_url": null,
  "id": "fydhtctesx052",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.18509",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math.DS"
    ],
    [
      "openalex",
      "2610|Mathematical Dynamics and Fractals"
    ]
  ],
  "openalex": "W7213500554",
  "pdf_url": "https://arxiv.org/pdf/2609.18509",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-16",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/fydhtctesx052.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:22:04Z",
      "native_id": "2609.18509",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.18509"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    }
  ],
  "title": "The Problem of Stochastic System Prediction in Gait Biomechanics Applications",
  "title_text": "The Problem of Stochastic System Prediction in Gait Biomechanics Applications",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:04Z",
  "url": "https://research.draconitic.com/paper/fydhtctesx052",
  "venue": "arXiv",
  "versions": []
}