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arXiv · 2609.18509

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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S. S. Gavryushin, I. A. Meshchihin, S. S. Minkov. 2026-09-16. The Problem of Stochastic System Prediction in Gait Biomechanics Applications. https://arxiv.org/abs/2609.18509

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