TITLE:
Modeling of Economic Processes, Instability and Chaos
AUTHORS:
Evgenii Perevoznikov, Elena Lomteva
KEYWORDS:
Mathematical Modeling of Economic Processes, Methods for Analyzing Dynamics, Instability, Chaos
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.7 No.2,
February
22,
2019
ABSTRACT: We consider a mathematical model
describing the dynamics of the three components of the economic activity of
enterprises—production, management and resource
consumption. For the analysis of the dynamics, the methods and criteria
formulated by the authors earlier were used; new results of a practical nature
were obtained; in particular, the calculation of the spectrum of small
perturbations of the system depending on the input resource and system
parameters is given. It is shown that the calculated values of the criteria of
instability and chaos are fully consistent with the calculation of the spectrum,
indicated the stability intervals of the system, as well as areas of
instability and chaos.