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Influence of external periodic and non-linear factors upon stability of economic systems

Author

Listed:
  • Kostenko Elena

    (Manifest Communications Inc.)

  • Kuznichenko Vladimir M.

    (Kharkov Institute of Finance Ukrainian State University of Finance and International Trade)

  • Lapshyn Vladimir I.

    (Kharkov Institute of Finance Ukrainian State University of Finance and International Trade)

Abstract

The article conducts a study of influence of periodic effect upon economic systems. It shows a danger of the resonance case when frequency of external periodic effect on the system tends to its own frequency of vibrations near the state of equilibrium. In this case, the amplitude of vibrations of the system becomes proportional to time and grows with it. Account of impacts, proportional to the rate of shift from the state of equilibrium, results in limitation of growth of the amplitude of vibrations, taking away secular dependence. Account of actions, proportional to non-linear shifts from the point of equilibrium, points out a possibility of taking the system out of the resonance. Quadratic non-linearity has no influence upon changes of the amplitude and vibration phase and cubic non-linearity changes the vibration phase through the amplitude, which takes the system out of the resonance. Depending on the system parameters, the case of a sudden change of the amplitude during the change of difference between the own frequency of the system and frequency of periodic effect is possible, moreover, the system passes to a stable state. The article offers methods of treating monitoring data for qualitative analysis of dynamics of economic systems.

Suggested Citation

  • 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.
    • Handle: RePEc:idp:redpoe:y:2013:i:2:p:212_219
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    References listed on IDEAS

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    1. Lin Shu-Chin & Huang Ho-Chuan & Kim Dong-Hyeon & Yeh Chih-Chuan, 2009. "Nonlinearity between Inequality and Growth," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 13(2), pages 1-20, May.
    2. Pérez-Alonso Alicia & Di Sanzo Silvestro, 2010. "Unemployment and Hysteresis: A Nonlinear Unobserved Components Approach," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 15(1), pages 1-29, December.
    3. Maki Daiki, 2010. "Detection of Stationarity in Nonlinear Processes: A Comparison between Structural Breaks and Three-Regime TAR Models," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 14(4), pages 1-43, September.
    4. Roa Maria J & Vazquez Francisco Jose & Saura Dulce, 2008. "Unemployment and Economic Growth Cycles," Studies in Nonlinear Dynamics & Econometrics, De Gruyter, vol. 12(2), pages 1-21, May.
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    Cited by:

    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. 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.

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