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Modeling the Control Effects of the Banking System on the Functioning of the Economy. III. Calculation and Decomposition of Models with a Stepped Boundary Layer*

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Abstract

A mathematical formalism is proposed for calculating mathematical models of financial and economic systems (FES) and determining the optimal values of control parameters for the case of a stepped boundary layer. The influence of the effects of splashing out, foaming out, and reverse impulse on the creation of conditions for the onset of FES crises is considered.

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References

  1. V. V. Khilenko, “Mathematical modeling of the effect of “splashing out” and optimization of management of banking and economic systems under globalization conditions,” Cybern. Syst. Analysis, Vol. 54, No. 3, 376–384 (2018). https://doi.org/10.1007/s10559-018-0039-7.

  2. V. V. Khilenko, “Modeling the control effects of the banking system on the functioning of the economy. I. Dynamics and adjustment of crisis situations,” Cybern. Syst. Analysis, Vol. 56, No. 1, 22–28 (2020). https://doi.org/10.1007/s10559-020-00217-w.

  3. V. V. Khilenko, “Modeling the control effects of the banking system on the functioning of the economy. II. Selection and special features of application of optimization algorithms,” Cybern. Syst. Analysis, Vol. 56, No. 5, 718–725 (2020). https://doi.org/10.1007/s10559-020-00290-1.

    Article  MathSciNet  MATH  Google Scholar 

  4. A. Z. Grishchenko and V. V. Khilenko, Order Reduction Method and Investigation of Dynamical Systems [in Russian], UMK VO, Kyiv (1988).

  5. Leon O. Chua and Pen-Min Lin, Computer-Aided Analysis of Electronic Circuits: Algorithms and Computational Techniques, Prentice-Hall, Englewood Cliffs, N.J. (1975).

  6. V. M. Gorbachuk, and O. S. Makarenko, “The features of human decision making for complex interdisciplinary problems solution,” System Research and Information Technologies, No. 3, 73–87 (2017).

  7. R. H. Thaler, Misbehaving: The Making of Behavioral Economics [Ukrainian translation], Nash Format, Kyiv (2018).

    Google Scholar 

  8. W. D. Nordhaus, “Reflections on the economics of climate change,” J. of Economic Perspectives, Vol. 7, No. 4, 11–25 (1993).

    Article  MathSciNet  Google Scholar 

  9. R. Rajan, “Competitive monetary easing: Is it yesterday once more?” Macroeconomics and Finance in Emerging Market Economies, Vol. 8, Iss. 1–2, 5–16 (2015).

  10. “India introduces restrictions on Chinese investments: The reason is named. URL: https://sprotyv.info/news/indiya-vvodit-zhestkie-ogranicheniya-na-investicii-iz-kitaya-nazvana-prichina.

  11. N. D. Kondratiev, Problems of Economic Dynamics [in Russian], Economica, Moscow (1989).

    Google Scholar 

  12. A. V. Korotayev and S. V. Tsirel, “A spectral analysis of world GDP dynamics: Kondratieff waves, Kuznets swings, Juglar and Kitchin cycles in global economic development, and the 2008–2009 economic crisis,” Structure and Dynamics, Vol. 4, Iss. 1, 3–57 (2010).

  13. L. E. Grinin, S. Yu. Malkov, and A. V. Korotayev, “Mathematical model of the medium-term economic cycle and the modern global crisis,” in: S. Yu. Malkov, L. E. Grinin, and À. V. Korotayev (eds.), History & Mathematics: Evolutionary Historical Macrodynamics [in Russian], Knizhnyy Dom “Librokom,” Moscow (2010).

  14. J. A. Schumpeter, Business Cycles: A Theoretical, Historical, and Statistical Analysis of the Capitalist Process, McGraw-Hill Book Co., New York–Toronto–London (1939).

    Google Scholar 

  15. V. M. Heyets, V. V. Nebrat, N. A. Suprun, Yu. M. Bazhal, V. M. Tarasevych et al., M.I. Tugan-Baranovsky: A Scientist, Citizen, Statesman (to the 150th Anniversary of His Birth) [in Ukrainian], Naukova Dumka, Kyiv (2015).

  16. Ye. M. Timofeyeva, “Financial market: Out of present to the past and the future,” Modern Economics: Problems and Solutions, Vol. 4, 138–147 (2015).

  17. J. Keynes, The General Theory of Employment, Interest and Money, Palgrave Macmillan, London (1936).

    Google Scholar 

  18. W. Leontief, The Future of World Economy, Oxford University Press, New York (2007).

    Google Scholar 

  19. A. V. Korotayev and Yu. V. Bozhevol’nov, “Some general trends in economic development of the World-System,” in: A. A. Akaev, A. V. Korotayev, and G. G. Malinetskii (eds.), Forecast and Modeling of Crises and World Dynamics [in Russian], LKI/URSS, Moscow (2010), pp. 161–172.

  20. D. Smihula, “Waves of technological innovations and the end of the information revolution,” J. Economics and Intern. Finance. Vol. 2, No. 4, 58–67 (2010).

    Google Scholar 

  21. D. V. Yevdokymov, A. A. Kochubey, and N. V. Polyakov, “Analysis of development tendencies of modern mathematical modeling and numerical simulation,” Bulletin of Dnipropetrovsk University, Ser. Communications in Mathematical Modeling and Differential Equations Theory, Vol. 17, No. 8, 3–17 (2009).

  22. V. V. Khilenko, “Convergence of algorithms of the order reduction method in analysis of nonlinear mathematical models of fragments of automatic control systems and process control systems,” Cybern. Syst. Analysis, Vol. 37, No. 3, 373–380 (2001). https://doi.org/10.1023/A:1011989710902.

    Article  MathSciNet  MATH  Google Scholar 

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Correspondence to V. V. Khilenko.

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Continued from Cybernetics and Systems Analysis, Vol. 57, No. 1 and No. 5, 2020.

Translated from Kibernetyka ta Systemnyi Analiz, No. 3, May–June, 2021, pp. 67–75.

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Khilenko, V.V. Modeling the Control Effects of the Banking System on the Functioning of the Economy. III. Calculation and Decomposition of Models with a Stepped Boundary Layer*. Cybern Syst Anal 57, 396–402 (2021). https://doi.org/10.1007/s10559-021-00375-5

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  • DOI: https://doi.org/10.1007/s10559-021-00375-5

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