MEDICAL CYBERNETICS AND BIOMECHANICS: THIRD TYPE SYSTEMS 

Es'kov Valeriy Matveevich, doctor of physical and mathematical sciences, professor, head of department of biophysics and neurocybernetics, Research Institute for System Research of the Russian Academy of Sciences (36 Nakhimovsky avenue, Moscow, Russia), E-mail: firing.squad@mail.ru
Grigorenko Violetta Viacheslavovna, senior lecturer, sub-department of computer science and engineering, Surgut State University (1 Leninа street, Surgut, Russia), E-mail: grigv_84@mail.ru
Nazina Nina Borisovna, associate professor, sub-department of computer science and engineering, Surgut State University (1 Leninа street, Surgut, Russia), E-mail: nnb60@mail.ru 

57.087 

10.21685/2307-5538-2020-2-9 

Background. More than 70 years ago, W. Weaver proposed a General classification of systems in the form of three types. In this classification, systems of the third type (living systems) occupied a special place. The mathematical apparatus for describing them has not been created for these 70 years. Special properties of such systems are proposed (in the form of 5 principles of their organization) and a formalized theory (the theory of chaos-selforganization), which gives a clear distinction between systems of the third type and deterministic-stochastic systems. The latter are now being actively studied in the framework of functional analysis (determinism) and stochastics, which, in fact, is not correct. The object of the study is the third type of system, as complex dynamic biomedical systems. The subject of the research is the methods of the deterministic-stochastic approach, as well as the methods of the chaos theory-self-organization. The purpose of the work is to demonstrate the significant differences between the third type of systems and the deterministic-stochastic systems. The object of the study is the third type of system, as complex dynamic biomedical systems. The subject of the research is the methods of the deterministic-stochastic approach, as well as the methods of the chaos theory-self-organization. The purpose of the work is to demonstrate the significant differences between the third type of systems and the deterministic-stochastic systems.
Materials and methods. To solve this problem, we use methods of deterministic-stochastic approach, as well as methods of chaos theory-self-organization.
Results. New invariants and mathematical models of such stochastically unstable systems are presented in the framework of the new theory of chaos-self-organization. The concept of pseudoattractors is introduced and the concept of evolution of such systems of the third type is given.
Conclusions. In connection with the proof of the Eskov – Zinchenko effect, there is a global uncertainty in the measurement, management and control of biosystem parameters in medical and biological Cybernetics from the standpoint of functional analysis and stochastics. We need to move to a new theory of chaos and selforganization, in which models of systems of the third type will be based on Eskov quasi-tractors (their parameters and coordinates of centers). 

chaos, stochastics, Eskov – Zinchenko effect, statics, kinematics