Mathematical model of chaos, caused by international trade

Authors

  • Alrefai Ahmed Waleed Kharkov National University of Radio Electronics Lenina 14, Kharkov, Ukraine, 61166, Ukraine

DOI:

https://doi.org/10.15587/2312-8372.2013.18208

Keywords:

keynesian model, stability problem, phase space, attractor, chaos

Abstract

The basic effects and patterns that characterize the Keynesian model of business cycle have been modeled using the system of linear differential equations. The solutions of the system, which describes the interaction of two or three states are found, and stability of this system was investigated. The majority of economic processes proceed in time. Owing to this, corresponding mathematical models are basically dynamic and nonlinear.The similar phenomena were observed in 4 dimentional models for economy of two states. Thus the required combination of parameters has been found, and the hypothesis of chaos as a result of globalization has been proved to be true, even for the elementary models.

Author Biography

Alrefai Ahmed Waleed, Kharkov National University of Radio Electronics Lenina 14, Kharkov, Ukraine, 61166

Graduate student

Department of Applied Mathematics

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Published

2013-10-28

How to Cite

Waleed, A. A. (2013). Mathematical model of chaos, caused by international trade. Technology Audit and Production Reserves, 5(4(13), 6–7. https://doi.org/10.15587/2312-8372.2013.18208

Issue

Vol. 5 No. 4(13) (2013): MATERIALS OF SCIENTIFIC CONFERENCE. Mathematical modeling - applied aspects

Section

Mathematical Modeling - Applied Aspects

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Copyright (c) 2016 Alrefai Ahmed Waleed

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