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