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JOURNALS // Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences // Archive

Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2012 Issue 1(26), Pages 261–267 (Mi vsgtu971)

Short Communication
Mathematical Modelling

Modeling and analysis of macroeconomic system dynamics in MATLAB/Simulink environment

V. S. Lubentcova, D. A. Andreyanov

Samara State Technical University, Samara, Russia

Abstract: The general theory of cyclic processes is examined in an economy. The simulation model of solutions of differential equations describing the cyclic vibrations of business activity and the trend curve of GDP growth is built in MATLAB/Simulink environment. Stability of the system is investigated. The graphic image of solutions of differential equations is brought, the influence of accelerator power on the dynamics of the economic system is analyzed.

Keywords: business cycles, method of averaging, power of accelerator, the equation of macroeconomic dynamics, stability of system, bifurcation point, long-term prognostication.

UDC: 517.958:330.101.541

MSC: 35Q91

Original article submitted 23/VI/2011
revision submitted – 20/I/2012

DOI: 10.14498/vsgtu971



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