GLANSDORFF-PRIGOGINE THEOREM IN THE DESCRIPTION OF TREMOR CHAOTIC DYNAMICS IN COLD STRESS

Abstract

The behavior dynamics of entropy E value in one man with multi repetition of tremor registration (N = 225 repetition) has been studied according to Eskov-Zinchenko theory effect in biomechanics. Almost full E coincidence according to 15-th series consisting of 15 tremorograms each proves the stable value of E for all 225 such registration (with repetition). It is like deterministic chaos. But the stress effect (2 min cooling of limb in water with t 4 °C does not show significant change of E value in tremorograms of three groups of test persons comparing with their initial state. There is a necessity to use another criteria for cold stress assessment (not stochastic approach) while creating special condition for cool adaptation (cold water treatment during 1 year and 2 years). Entropy E as a chaos measure is ineffective for assessment such adaptation procedures for the human body in the North. At the same time, matrix computation of paired comparison of tremorograms selection shows the lack of statistical stability in these samples, i. e., for two received samples, we are unable to obtain two identical statistical distribution functions. This effect was called Eskov-Zinchenko effect and now we prove that the values of entropy E of the obtained samples remain unchanged. Entropy stationarity for different states of homeostasis is one more proof of the systems' features of the third type in human ecology.