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

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, , Citation V I Shapovalov and N V Kazakov 2015 J. Phys.: Conf. Ser. 574 012084 DOI 10.1088/1742-6596/574/1/012084

1742-6596/574/1/012084

Abstract

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.

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10.1088/1742-6596/574/1/012084