Abstract:
The work continues the study of the dynamics of economic processes in enterprises based on the mathematical model of production, management, and resources (PMR) initiated in works [6], [7]. The spectrum of perturbations of the system of nonlinear equations describing economic processes is calculated, as well as the criteria for instability and chaos depending on the system parameters. It is shown that investments in production and management have the greatest impact on the dynamics of economic processes in enterprises. The areas of parameters corresponding to the stable functioning of enterprises, as well as areas of instability and chaos, are indicated. It is indicated which of the five possible steady states of the studied system is optimal in terms of stability and controllability for the successful functioning of the enterprise.
Keywords:mathematical modelling of economic processes in enterprises, stability criteria, instability criteria, chaos criteria.
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