Modeling of Economic Processes, Instability and Chaos

• 作者: Elena Lomteva Evgenii Perevoznikov
• 来源期刊: 应用数学与应用物理(英文)
• 学科: 数学
• 关键词: MATHEMATICAL Modeling of ECONOMIC PROCESSES Methods for ANALYZING Dynamics INSTABILITY CHAOS
• 年，卷（期）: 2019,（2）
• 页码范围: 356-363
• 页数: 8页
• 分类号: O1

摘要

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.