Work

The Problem of Stochastic System Prediction in Gait Biomechanics Applications

Year: 2026

Type: preprint

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).

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.18509

Authors: Gavryushin, S. S., Meshchihin, I. A., Minkov, S. S.

Language: English

Topic: Mathematical Dynamics and Fractals

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7213500554

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