# 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.

## Key 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.

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Source: https://tomesphere.com/paper/1812.10421