Open AccessConsideration of Socium as Mechanical System with Stream Control
Author(s) -
A. N. Florensov,
A. S. Gritsay
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1260/2/022002
Subject(s) - nonlinear system , ordinary differential equation , mathematical model , mechanical system , phase space , work (physics) , systems modeling , mathematics , differential equation , point (geometry) , argument (complex analysis) , production (economics) , computer science , control theory (sociology) , control (management) , mathematical analysis , engineering , mechanical engineering , physics , thermodynamics , geometry , biochemistry , statistics , software engineering , chemistry , macroeconomics , quantum mechanics , artificial intelligence , economics
Mathematical modeling of socium as mechanical system with the material components determined by parts of system with qualitatively excellent complexes of properties concerning production, storage and consumption of production is considered. Existence of objectively operating feedback in the representing system is established. The mathematical model formed in work appears the nonlinear system of the ordinary differential equations and is far-reaching expansion of classical models Lotka and Volterra. The mathematical analysis shows existence of a fixed point in phase space of solutions of system and gives for her analytical expressions. Results of private numerical modeling of the offered model are presented. Results of modeling show manifestations of difficult oscillatory dynamics of phase trajectories of the solution of system and serve as an essential argument of an explanation of real oscillatory processes in the history of social systems.