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PreprintCC BY 4.0arXiv

The Problem of Stochastic System Prediction in Gait Biomechanics Applications

  • S. S. Gavryushin
  • I. A. Meshchihin
  • S. S. Minkov
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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).

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Cite

BibTeXRIS
BibTeX
@misc{gavryushin2026problem,
  title = {{The Problem of Stochastic System Prediction in Gait Biomechanics Applications}},
  author = {S. S. Gavryushin and I. A. Meshchihin and S. S. Minkov},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.18509},
  eprint = {2609.18509},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.18509},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - The Problem of Stochastic System Prediction in Gait Biomechanics Applications
AU  - S. S. Gavryushin
AU  - I. A. Meshchihin
AU  - S. S. Minkov
PY  - 2026
DA  - 2026/09/16
PB  - arXiv
DO  - 10.48550/arxiv.2609.18509
UR  - https://arxiv.org/abs/2609.18509
AB  - 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).
ER  -