Abstract

This year marks the 70th anniversary of the publication of the monograph by N.A. Bernshtein "On the construction of movements" and 60 years since the publication of his eighth essay "The urgent problems of the regulation of motor acts". In these works, for the first time, the problem of uncertainty in the organization (and dynamics of behavior) of all systems, which we now designate as homeostatic or systems of the third type, according to W. Weaver's classification, was first raised. This problem was voiced by N.A. Bernstein as the hypothesis of "repetition without repetition", within which it is possible (as suggested by Bernstein) to describe any motor acts. After a detailed study of the various types of motion in biomechanics, we ascertained that modern deterministic-stochastic science has approached its developmental boundary in the study of living systems, since the main thesis about the repeatability and predictability of the state of the biosystem (neuronets of the brain, the human psyche) is violated. We turn to the study of systems that are in a continuous chaotic regime of changes of any parameters x_i of such (unstable) systems. The Eskov-Zinchenko effect, which is a quantitative proof of Bernshtein’s hypothesis of "repetition without repetition", is that the successively obtained samples x_i (in one, unchanged state) demonstrate a kaleidoscope of statistical distribution functions f(x), i.e. f_j(x_i)≠f_j+1(x_i) for two neighboring registered (from one person) registered samples x_i (i.e., for the jth and j+1th). This erases the boundaries between arbitrary and involuntary movements from the standpoint of their objective, statistical evaluation. Statistical instability of any received samples of parameters x_i, which describe homeostatic systems, requires new concepts and new models - models of homeostasis.