Chaotic dynamics of movements stochastic instability and the hypothesis of N.A. Bernstein about "repetition without repetition"

TL;DR

This study investigates tremor dynamics under static load, revealing increased sample matching and stochastic instability, and explores N.A. Bernstein's hypothesis of 'repetition without repetition' through analysis of tremorogram matrices.

Contribution

It provides empirical evidence of tremor stochastic instability and introduces a novel approach using quasi-attractors to differentiate physical load effects.

Findings

Static load nearly doubles matching pairs of tremor samples.

Tremor samples exhibit stochastic unstable states.

Quasi-attractors distinguish between loaded and unloaded conditions.

Abstract

The registration of tremor was performed in two groups of subjects (15 people in each group) with different physical fitness at rest and at a static loads of 3N. Each subject has been tested 15 series (number of series N=15) in both states (with and without physical loads) and each series contained 15 samples (n=15) of tremorogramm measurements (500 elements in each sample, registered coordinates x1(t) of the finger position relative to eddy current sensor) of the finger. Using non-parametric Wilcoxon test of each series of experiment a pairwise comparison was made forming 15 tables in which the results of calculation of pairwise comparison was presented as a matrix (15x15) for tremorogramms are presented. The average number of hits random pairs of samples (<k>) and standard deviation {\sigma} were calculated for all 15 matrices without load and under the impact of physical load (3N), which showed an increase almost in twice in the number k of pairs of matching samples of tremorogramms at conditions of a static load. For all these samples it was calculated special quasi-attractor (this square was presented the distinguishes between physical load and without it. All samples present the stochastic unstable state.