Transition from determinism to stochastic sand further to chaos (self-organization) in the study of biomechanical systems leads to the problem of chaotic dynamics modeling of a post- ural tremor. In general, there is a problem of identifying the voluntary human movements. In other words biophysics of complex systems has approached the global challenges of voluntary and involuntary performance of any motor functions. The possibility of modeling these processes qualitatively and quantitativelyisdiscussed. Specific models demonstrate the effectiveness of the compartment-cluster modeling of biosystems and possibilities of controlof such models from the neural networks of the brain. Comparative analysis of the simulated and real recorded signals has shown a high consistent dynamics of simulated and real signals of complex biological systems. In particular, changes in tremor parameters can be described by the change in quasi-attractors which essentially depend on the mental state of a person. In experiments it is shown in the form of sight effects, which are considered in the report as a test model on experimental data.

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This article presents a comparative analysis of the parameters of HRV students who are indigenous and non-indigenous residents of Yugra. Analysis was carried out carried out by multiple comparisons of three age subgroups and by multivariate analysis with the calculation of inter-cluster distances. The differences in the dynamics of age-related changes of Yugra schoolchildren reveals distinctive trend parameters of heart rate variability between indigenous and non-indigenous representatives of North. In particular, it revealed a higher adaptive capacity in Aboriginal representatives in comparison with the migrant population. The maximum divergence of parameters of the body boys observed in the older age group.

. Potential application of traditional and stochastic methods in assessment of parameters of complex biosystem – complexity is presented. Their amplitude-frequency characteristics, autocorrelation functions A(t), Lyapunov exponents, statistical distribution function f(x) constantly change. In spite of such chaotic dynamics in recorded parameters of tremor, tapping, cardiograms, myograms and other parameters of homeostasis, an order in the dynamics of these processes can be observed. The order is revealed in a change of numbers of sample overlaps that are obtained as a result of some processes. Owing to all the stochastic characteristics constantly change, calculation method for statistical distribution functions with repetitions of identical experimental sets is proposed. In this case, number of sample overlaps (their belonging to the same general population) will numerically present the transition mechanism to order out of chaos or the variation of chaos degree in movement formation and electrobiological muscular activity. The current work shows some typical examples of different physiological human states presented in a form of matrices of paired comparison.

According to theory of chaos and self-organization calculation of chaotic dynamics of postural tremor parameters is presented. We have shown that stochastic approach, calculation of distribution function for reiterations of measurements, tremorograms in one subject exhibits chaotic dynamics of these functions f(x). Otherwise 15 measurements by 5 seconds tremerograms show impossibility of coincidence f(x) at pairwise comparison (105 pairs) of tremerograms. Functions f(x) can coincide (for pairs of tremorograms) less than 2-5% from the general number without effect on a person. However, physical load increases the coincidence to 10-15%. Simultaneously, all the amplitude-frequency characteristics do not coincide, Lyapunov constants cannot be calculated, but autocorrelation functions do not reach zero. All the stochastic parameters exhibit constant changes. Calculation of quasi-attractors can provide real distinction between biomechanical system before static load and after. Sizes of quasi-attractor (square and volume) can show distinctions in physiological body states for continuous motions x(t), i.e. for dx/dt≠ 0.