Mathematical model of chaos, caused by international trade

• Main Author: Alrefai Ahmed Waleed
• Format: Article
• Language: English
• Published: PC Technology Center 2013-10-01
• Series: Tehnologìčnij Audit ta Rezervi Virobnictva
• Subjects: keynesian model; stability problem; phase space; attractor; chaos
• Online Access: http://journals.uran.ua/tarp/article/view/18208

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.