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http://repository.hneu.edu.ua/handle/123456789/29184
Title: | A nonlinear mathematical model of dynamics of production and economic objects |
Authors: | Voronin A. Lebedeva I. Lebedev S. |
Keywords: | economic dynamics mathematical model in continuous time nonlinear dynamics synergism phase trajectories of evolution stability of equilibrium points bifurcation |
Issue Date: | 2022 |
Citation: | Voronin A. A nonlinear mathematical model of dynamics of production and economic objects / A. Voronin, I. Lebedeva, S. Lebedev // Development Management. – 2022. – Vol. 20. – No 2. – P. 8-15. |
Abstract: | The purpose of this work is to build an analytical model of the production and economic system, which would allow studying the structural changes that may occur in the process of functioning of economic objects with a closed cycle of production activity and which determine the possible ways of evolution of an open economic system over time (phase trajectories of evolution). The methodology of nonlinear dynamics and economic synergy was used to create the model. The work proposes a mathematical model of the production and economic system with a small number of phase variables that have a market interpretation, and determines endogenous and exogenous parameters that characterize the state of the system and the direction of its development. The model contains a system of two ordinary differential equations with quadratic nonlinearity. Qualitative analysis – analysis by phase trajectories – based on this model showed that non-linearity leads to non-unity of equilibrium states and the existence of both stable and unstable development trajectories of the economic system under study. |
URI: | http://repository.hneu.edu.ua/handle/123456789/29184 |
Appears in Collections: | Статті (ВМЕМ) |
Files in This Item:
File | Description | Size | Format | |
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Voronin_Development_Management_2022_Vol._20,_No._2_8-15.pdf | 867,95 kB | Adobe PDF | View/Open |
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