Method of neurocomputing is extensively used in biomedical systems, but this method has one defect which is now disregarded: the resulting ranking diagnostic signs cannot be used at a few iterations p, i.e. network adjustment. Based on the study of the differences between the three age groups of women Khanty (the indigenous population of Yugra) on the parameters of the five active component (from all 14 registered) state of the cardio-respiratory system of the body, the authors demonstrate the fallacy of a single or small number of iterations R (R≤50) solving the problem of binary classification separate groups in a special five-dimensional phase space.The solving binary classification problem must be repeated not less than 1000 times that provides identifying significant diagnostic signs хi i.e. exhibits the significance in diagnostics of ageing rate. This will guarantee that the exact value of the weights Wi signs up to three digits after the decimal point. This ensures accurate diagnostics significance xi features not only in gerontology, but also in any other areas of medicine and physiology. The task of system synthesis is solved if statistics are powerless to identify differences between groups of patients or in different physiological conditions.

Today the formalization of the description of the evolving system doesn’t exist in biology. But if a biosystem is described by a state vector x=x(t)=(x1, x2, …, xm)T in multidimensional phase space, notions of speed and acceleration for the description of quasi-attractor’s motion can be introduced. Vector x(t) moves constantly and chaotically inside the quasi-attractor, i.e. dx/dt≠0 is constant. With age these quasi-attractors show translational motion in phase space for which the model as an dx/dt=(a-bx)x is created and speed V=dx/dt and acceleration a=dV/dt are determined for evolution of biosystems. The current paper presents concrete examples of age-related changes of quasi-attractor’s parameters (two-dimensional phase space) that should be considered as an evolution of vector of cardiorespiratory system in six-dimensional phase space. Models of such dynamics are discussed according to quasi-attractor’s parameters that allow to calculating speed and acceleration of evolution in some integrative values.

. 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.

Parameters of cardiovascular system at the unexercised and trained examinees by methods of classical statistics and new methods of calculation of chaotic dynamics of behavior of a vector of a condition of a human body in phase space are studied. The tendency to increase in the area of quasiattractors of unexercised examinees after physical activity is shown that is also confirmed by change of values of volumes of quasiattractors after loading in comparison with data to loading. Long physical activity (training) stabilizes parameters of cardiovascular and neuromuscular systems of the trained students in aspect of natural changes of parameters of quasiattractors, and their dynamics shows fitness degree. Calculation of parameters of quasiattractors of cardiovascular system allows to estimate objectively dynamics of reserve opportunities of an organism and their predictive importance.