IDEAS home Printed from https://ideas.repec.org/a/hyp/journl/v1y2013i2p42-59.html
   My bibliography  Save this article

The nonlinear GDP dynamics

Author

Listed:
  • Ionut Purica

    (Hyperion University of Bucharest, Romania)

Abstract

The oscillatory behavior of GDP and its components leads to a Fourier transform analysis that results in the eigen values of the dynamic economic system. The larger values are dominating the transient behavior of the GDP components and these transients are discussed along with the specific behavior of each component. The second order differential equations are determined, for each component, to describe the oscillatory behavior and the transient resulting from a step excitation. The natural frequencies are determined and the correlation of pairs of components’ cycles result in ‘beats’ process where the modulated wave cycles are compared and discussed. Based on these correlated influence terms the solutions of the differential equations of each component are determined along with their evolution in the phase space and with the specific Lagrangian. The possible occurrence of dynamical behavior basins for GDP is explored, associated to time interval least action considerations. Important conclusions are drawn from this analysis on the dynamics of GDP and its components, in terms of general versus local equilibriums and their evolution.

Suggested Citation

  • Ionut Purica, 2013. "The nonlinear GDP dynamics," Hyperion Economic Journal, Faculty of Economic Sciences, Hyperion University of Bucharest, Romania, vol. 1(2), pages 42-59, June.
    • Handle: RePEc:hyp:journl:v:1:y:2013:i:2:p:42-59
    as

    Download full text from publisher

    File URL: http://www.hej.hyperion.ro/articles/2(1)_2013/HEJ%20nr2(1)_2013_S1Purica.pdf
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    nonlinear models; oscillatory behavior; GDP cycles; equilibrium;
    All these keywords.

    JEL classification:

    • C3 - Mathematical and Quantitative Methods - - Multiple or Simultaneous Equation Models; Multiple Variables
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D7 - Microeconomics - - Analysis of Collective Decision-Making
    • D87 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Neuroeconomics

    Statistics

    Access and download statistics

    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:hyp:journl:v:1:y:2013:i:2:p:42-59. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Iulian Panait (email available below). General contact details of provider: https://edirc.repec.org/data/fehypro.html .

    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.