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Bifurcation analysis of an endogenous growth model

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  • Barnett, William A.
  • Ghosh, Taniya

Abstract

This paper analyzes the dynamics of a variant of Jones (2002) semi-endogenous growth model within the feasible parameter space. We derive the long-run growth rate of the economy and do a detailed bifurcation analysis of the equilibrium. We show the existence of codimension-1 bifurcations (Hopf, Branch Point, Limit Point of Cycles, and Period Doubling) and codimension-2 (Bogdanov–Takens and Generalized Hopf) bifurcations within the feasible parameter range of the model.

Suggested Citation

  • Barnett, William A. & Ghosh, Taniya, 2013. "Bifurcation analysis of an endogenous growth model," The Journal of Economic Asymmetries, Elsevier, vol. 10(1), pages 53-64.
  • Handle: RePEc:eee:joecas:v:10:y:2013:i:1:p:53-64
    DOI: 10.1016/j.jeca.2013.09.003
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    1. William A. Barnett & Taniya Ghosh, 2014. "Stability analysis of Uzawa–Lucas endogenous growth model," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 33-44, April.
    2. Growiec, Jakub & McAdam, Peter & Mućk, Jakub, 2018. "Endogenous labor share cycles: Theory and evidence," Journal of Economic Dynamics and Control, Elsevier, vol. 87(C), pages 74-93.
    3. Barnett, William A. & Chen, Guo, 2015. "Bifurcation of Macroeconometric Models and Robustness of Dynamical Inferences," Foundations and Trends(R) in Econometrics, now publishers, vol. 8(1-2), pages 1-144, September.
    4. Barnett, William A. & Bella, Giovanni & Ghosh, Taniya & Mattana, Paolo & Venturi, Beatrice, 2019. "Shilnikov Chaos, Low Interest Rates, And New Keynesian Macroeconomics," Studies in Applied Economics 142, The Johns Hopkins Institute for Applied Economics, Global Health, and the Study of Business Enterprise.
    5. Bosi, Stefano & Desmarchelier, David, 2018. "Natural cycles and pollution," Mathematical Social Sciences, Elsevier, vol. 96(C), pages 10-20.
    6. Meir Russ, 2017. "The Trifurcation of the Labor Markets in the Networked, Knowledge-Driven, Global Economy," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 8(2), pages 672-703, June.

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    More about this item

    Keywords

    Bifurcation; Jones growth model; Hopf; Inference robustness; Dynamics; Stability;
    All these keywords.

    JEL classification:

    • C52 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Model Evaluation, Validation, and Selection
    • C53 - Mathematical and Quantitative Methods - - Econometric Modeling - - - Forecasting and Prediction Models; Simulation Methods
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
    • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models

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