IDEAS home Printed from https://ideas.repec.org/a/mth/raee88/v7y2015i2p1-10.html
   My bibliography  Save this article

Model of Determination of the Dynamical Stability of Economic Systems

Author

Listed:
  • Elena Kostenko

    (Manifest Communications Inc., Ontario, Canada)

  • Vitaly Kostenko

    (Department of Electronics and Control Systems, V.N. Karazin Kharkiv National University, Ukraine)

  • Volodymyr Kuznichenko

    (Department of Mathematical Methods in Economics and Information Technologies, Ukraine)

  • Volodymyr Lapshyn

    (Department of Mathematical Methods in Economics and Information Technologies, Ukraine)

Abstract

The article proposes an algorithm to qualitatively determine the dynamic state of an economic system. The base data for the algorithm are the current values of the parameter that describes the deviation of the system from equilibrium. The method of phase planes is partially used. The interpolation of the statistical data of the system parameter as a function of time, as well as the parametric definition of the forces that act on the system, allows for the determination of its potential functions and points of equilibrium. The characteristics of the points of equilibrium, namely their extrema type, determine the areas of the systems stability and instability. The use of standard computer programs allows for the analytical and graphical (by analysing the form of the potential function) determination of the dynamic stability of a system, by looking at the current parameters of the system. A demonstration of the algorithm is given in an example.

Suggested Citation

  • Elena Kostenko & Vitaly Kostenko & Volodymyr Kuznichenko & Volodymyr Lapshyn, 2015. "Model of Determination of the Dynamical Stability of Economic Systems," Research in Applied Economics, Macrothink Institute, vol. 7(2), pages 1-10, June.
    • Handle: RePEc:mth:raee88:v:7:y:2015:i:2:p:1-10
    as

    Download full text from publisher

    File URL: http://www.macrothink.org/journal/index.php/rae/article/view/7048/6258
    Download Restriction: no
    File URL: http://www.macrothink.org/journal/index.php/rae/article/view/7048
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Kostenko Elena & Kuznichenko Vladimir M. & Lapshyn Vladimir I., 2013. "Influence of external periodic and non-linear factors upon stability of economic systems," The Problems of Economy, RESEARCH CENTRE FOR INDUSTRIAL DEVELOPMENT PROBLEMS of NAS (KHARKIV, UKRAINE), issue 2, pages 212-219.
    2. O. H. Brownlee, 1950. "The Theory of Employment and Stabilization Policy," Journal of Political Economy, University of Chicago Press, vol. 58(5), pages 412-412.
    3. R. David Mclean & Mengxin Zhao, 2014. "The Business Cycle, Investor Sentiment, and Costly External Finance," Journal of Finance, American Finance Association, vol. 69(3), pages 1377-1409, June.
    4. Mordecai Ezekiel, 1938. "The Cobweb Theorem," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 52(2), pages 255-280.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Maite Bl¨¢zquez & Ainhoa Herrarte & Raquel Llorente-Heras, 2015. "Evidence on the Wage Returns of Advanced Vocational Training and University Education in Spain," Research in Applied Economics, Macrothink Institute, vol. 7(3), pages 1-13, September.
    2. Fausto, Cavalli, 2016. "A cobweb model with alternating demand and supply functions," Working Papers 325, University of Milano-Bicocca, Department of Economics, revised 07 Feb 2016.
    3. Akio Matsumoto, 1998. "Do Government Subsidies Stabilize Or Destabilize Agricultural Markets?," Contemporary Economic Policy, Western Economic Association International, vol. 16(4), pages 452-466, October.
    4. Aadland, David, 2004. "Cattle cycles, heterogeneous expectations and the age distribution of capital," Journal of Economic Dynamics and Control, Elsevier, vol. 28(10), pages 1977-2002, September.
    5. Cees Diks & Cars Hommes & Valentyn Panchenko & Roy Weide, 2008. "E&F Chaos: A User Friendly Software Package for Nonlinear Economic Dynamics," Computational Economics, Springer;Society for Computational Economics, vol. 32(1), pages 221-244, September.
    6. Boussard, Jean-Marc, 1996. "When risk generates chaos," Journal of Economic Behavior & Organization, Elsevier, vol. 29(3), pages 433-446, May.
    7. Williamson, Rohan & Yang, Jie, 2021. "Tapping into financial synergies: Alleviating financial constraints through acquisitions," Journal of Corporate Finance, Elsevier, vol. 68(C).
    8. Erasmo Giambona & Rafael Matta & José-Luis Peydró & Ye Wang, 2020. "Quantitative easing, investment, and safe assets: the corporate-bond lending channel," Economics Working Papers 1722, Department of Economics and Business, Universitat Pompeu Fabra, revised Oct 2020.
    9. Holst, Carsten & von Cramon-Taubadel, Stephan, 2012. "International Synchronisation of the Pork Cycle," Acta Oeconomica et Informatica, Faculty of Economics and Management, Slovak Agricultural University in Nitra (FEM SPU), vol. 15(1), pages 1-6, March.
    10. Chen, Yangyang & Goyal, Abhinav & Veeraraghavan, Madhu & Zolotoy, Leon, 2020. "Terrorist attacks, investor sentiment, and the pricing of initial public offerings," Journal of Corporate Finance, Elsevier, vol. 65(C).
    11. Hommes, Cars & Lux, Thomas, 2013. "Individual Expectations And Aggregate Behavior In Learning-To-Forecast Experiments," Macroeconomic Dynamics, Cambridge University Press, vol. 17(2), pages 373-401, March.
    12. Joseph Buongiorno, 2021. "GFPMX: A Cobweb Model of the Global Forest Sector, with an Application to the Impact of the COVID-19 Pandemic," Sustainability, MDPI, vol. 13(10), pages 1-18, May.
    13. Tuinstra, Jan & Wegener, Michael & Westerhoff, Frank, 2014. "Positive welfare effects of trade barriers in a dynamic partial equilibrium model," Journal of Economic Dynamics and Control, Elsevier, vol. 48(C), pages 246-264.
    14. Matthew T. Holt & Andrew M. McKenzie, 2003. "Quasi-rational and ex ante price expectations in commodity supply models: an empirical analysis of the US broiler market," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 18(4), pages 407-426.
    15. Wang, Yolanda Yulong, 2023. "Corporate diversification, investment efficiency and the business cycle11This work is supported by Shenzhen Humanities & Social Sciences Key Research Bases," Journal of Corporate Finance, Elsevier, vol. 78(C).
    16. Hercules E. Haralambides & Helen Thanopoulou, 2014. "The Economic Crisis of 2008 and World Shipping: Unheeded Warnings," SPOUDAI Journal of Economics and Business, SPOUDAI Journal of Economics and Business, University of Piraeus, vol. 64(2), pages 5-13, April-Jun.
    17. Wang, Jie & Wang, Wanwan & Yuan, Fang, 2023. "Air pollution and corporate risk-taking: Evidence from China," International Review of Economics & Finance, Elsevier, vol. 86(C), pages 570-586.
    18. Xiaoji Lin & Fan Yang & Frederico Belo, 2014. "External Equity Financing Costs, Financial Flows, and Asset Prices," 2014 Meeting Papers 863, Society for Economic Dynamics.
    19. Huang, Liangxiong & Ma, Minghui & Wang, Xianbin, 2022. "Clan culture and risk-taking of Chinese enterprises," China Economic Review, Elsevier, vol. 72(C).
    20. Sonnemans, Joep & Hommes, Cars & Tuinstra, Jan & van de Velden, Henk, 2004. "The instability of a heterogeneous cobweb economy: a strategy experiment on expectation formation," Journal of Economic Behavior & Organization, Elsevier, vol. 54(4), pages 453-481, August.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:mth:raee88:v:7:y:2015:i:2:p:1-10. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Technical Support Office (email available below). General contact details of provider: http://www.macrothink.org/journal/index.php/rae .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.