The Lorentz Attractor and Other Attractors in the Economic System of a Firm

3rd International Conference on Mathematical Modeling in Physical Sciences

物理学;数学

Shapovalov, V.I.^1 ; Kazakov, N.V.^2

Volgograd Branch of Moscow Humanitarian-Economics Institute, Volgograd, Russia^1

Volgograd State Technical University, Volgograd, Russia^2

关键词: Chaotic attractors;    Control parameters;    Economic modeling;    Economic system;    Lorentz attractors;    Non-linear model;    Scientific literature;    Synergetics;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/574/1/012084/pdf
DOI  :  10.1088/1742-6596/574/1/012084

来源: IOP

【 摘 要 】

A nonlinear model of the economic system of "a firm" is offered. It is shown that this model has several chaotic attractors, including the Lorentz attractor and a new attractor that, in our opinion, has not yet been described in the scientific literature. The chaotic nature of the attractors that were found was confirmed by computing the Lyapunov indicators. The functioning of our economic model is demonstrated with examples of firm behaviour that change the control parameters; these are well known in practice. In particular, it is shown that changes in the specific control parameters may change the system and avoid bankruptcy for the firm.