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Morishima's Nonlinear Model of the Cycle: Simplifications and Generalizations


  • K. Vela Velupillai

    (Department of Economics, National University of Ireland, Galway)


Michio Morishima's nonlinear model of the trade cycle (Morishima, 1958) is simplified and generalized to show, by means of the Andronov-Hopf bifurcation theorem, the existence of a periodic orbit. In addition, an attempt is made to place Morishima's contribution in the broader tradition of the work of the Japanese School of Nonlinear Trade Cycle Theorists and to place this, in turn, within the context and development of the tradition of mathematical economics in early post-war Japan.

Suggested Citation

  • K. Vela Velupillai, 2005. "Morishima's Nonlinear Model of the Cycle: Simplifications and Generalizations," Working Papers 0095, National University of Ireland Galway, Department of Economics, revised 2005.
  • Handle: RePEc:nig:wpaper:0095

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    References listed on IDEAS

    1. Fidrmuc, Jan, 2004. "Migration and regional adjustment to asymmetric shocks in transition economies," Journal of Comparative Economics, Elsevier, vol. 32(2), pages 230-247, June.
    2. Kahanec, Martin & Zimmermann, Klaus F., 2008. "International Migration, Ethnicity and Economic Inequality," IZA Discussion Papers 3450, Institute for the Study of Labor (IZA).
    3. Bauer, Thomas K. & Zimmermann, Klaus F., 1999. "Report No. 3: Assessment of Possible Migration Pressure and its Labour Market Impact Following EU Enlargement to Central and Eastern Europe," IZA Research Reports 3, Institute for the Study of Labor (IZA).
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    More about this item


    Business Cycles; Nonlinear Dynamics; Endogenous Cycles; Bifurcation Theory;

    JEL classification:

    • B31 - Schools of Economic Thought and Methodology - - History of Economic Thought: Individuals - - - Individuals
    • C61 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Optimization Techniques; Programming Models; Dynamic Analysis
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles


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