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Crisis Models of Economic Dynamics
Lyubchyk L. M., Grinberg G. L., Voronin A. V.

Lyubchyk, Leonid M., Grinberg, Galina L., and Voronin, Anatolii V. (2019) “Crisis Models of Economic Dynamics.” Business Inform 5:92–97.
https://doi.org/10.32983/2222-4459-2019-5-92-97

Section: Economic and Mathematical Modeling

UDC 313.42

Abstract:
The main aim of the study is to analyze the procedure for constructing differential equations used to model macroeconomic processes. The correctness of the model of economic growth in differential form is investigated. The inadequacy of the exponential growth of the economy is established. An alternative result is obtained in the form of a hyperbolic growth of significant economic indicators. A discrepancy between the proportional growth of capital and income is revealed. Considerations are put forward to identify the moment of occurrence of crisis phenomena. Corresponding adjustments to economic growth models are made. An approach to the use of balance equations for modeling economic dynamics for the purpose of obtaining prediction estimates is generalized.

Keywords: international trade, bifurcation, chaos, balance, resource, dynamics, stability, equilibrium.

Formulae: 26. Bibl.: 10.

Lyubchyk Leonid M. – Doctor of Sciences (Engineering), Professor, Head of the Department, Department of Computer Mathematics and Data Analysis, National Technical University «Kharkiv Polytechnic Institute» (2 Kyrpychova Str., Kharkіv, 61002, Ukraine)
Email: [email protected]
Grinberg Galina L. – Candidate of Sciences (Engineering), Associate Professor, Associate Professor, Department of Economic Cybernetics and Marketing Management, National Technical University «Kharkiv Polytechnic Institute» (2 Kyrpychova Str., Kharkіv, 61002, Ukraine)
Email: [email protected]
Voronin Anatolii V. – Candidate of Sciences (Engineering), Associate Professor, Associate Professor, Department of Mathematics and Economic and Mathematical Methods, Simon Kuznets Kharkiv National University of Economics (9a Nauky Ave., Kharkiv, 61166, Ukraine)
Email: voronin61@ ukr.net

List of references in article

Malyarets, L. M., Voronin, A. V., and Gunko, O. V. “Teoreticheskiye problemy ekonomicheskogo rosta“ [Theoretical problems of economic growth]. USiM, no. 1 (2016): 50-55.
Akayev, A. A., Korotayev, A. V., and Malinetskiy, G. G. Prognoz i modelirovaniye krizisov i mirovoy dinamiki [Forecasting and modeling of crises and world dynamics]. Moscow: Izd-vo LKI, 2010.
Matematychni metody v suchasnykh ekonomichnykh doslidzhenniakh [Mathematical methods in modern economic research]. Kharkiv: Vyd-vo KhNEU, 2011.
Kantorovich, L. V., and Gorstko, A. B. Optimalnyye resheniya v ekonomike [Optimal solutions in the economy]. Moscow: Nauka, 1972.
Kech, V., and Teodoresku, P. Vvedeniye v teoriyu obobshchennykh funktsiy s prilozheniyami v tekhnike [Introduction to the theory of generalized functions with applications in engineering]. Moscow: Mir, 1978.
Kharrod, R. “K teorii ekonomicheskoy dinamiki. Novyye vyvody ekonomicheskoy teorii i ikh primeneniye v ekonomicheskoy politike“ [To the theory of economic dynamics. New conclusions of economic theory and their application in economic policy]. In Klassiki keynsianstva, vol. 1, 39-194. Moscow: Ekonomika, 1997.
Teoriya kapitala i ekonomicheskogo rosta [The theory of capital and economic growth]. Moscow: Izd-vo Moskov. un-ta, 2004.
Samuelson, P. A. Osnovaniya ekonomicheskogo analiza [Grounds for economic analysis]. St. Petersburg: Ekonomicheskaya shkola, 2002.
Allen, R. Matematicheskaya ekonomiya [Mathematical savings]. Moscow: Izd-vo inostran. lit., 1963.
Bergstrom, A. Postroyeniye i primeneniye ekonomicheskikh modeley [Construction and application of economic models]. Moscow: Progress, 1970.

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