arXiv subjects

S. S. Minkov

Publications and source records attributed to S. S. Minkov.

2 recordsLinked to original sources

arXiv2026

The Problem of Stochastic System Prediction in Gait Biomechanics Applications

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).

math.DS↗

arXiv2022

The Markov model of a dynamic system based on experimental data for control problems of bionic prostheses

This article is devoted to a prediction of gait kinematics based on the Markov chains in the delay space. We use hypercubic grid in the delay space of angles in the sagittal plane in the knee and hip joints to construct Markov states. Our experimental signal (obtained from the telemetry of the prosthesis) provides transition probabilities. The resulting Markov model seems to be helpful for estimation of attractor dimension, characteristic frequencies of the system, and so on.

math.DS↗