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A non-linear approach to Kalecki’s investment cycle

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  • De Cesare, Luigi
  • Sportelli, Mario

Abstract

In this paper, looking at some new contributions to the Kalecki business cycle theory, we re-examine his 1935 model concerning the gestation period between orders and deliveries of capital goods. The model gives rise to a delay differential equation (DDE) with delay dependent coefficients depending on the time delay. The model has only one equilibrium point. Proved that a unique stability switch exists, we study the emergence of the Hopf bifurcation and the direction, stability and period of the bifurcating periodic solutions. We derive an explicit formula for determining the properties of the Hopf bifurcation by using the first Lyapunov coefficient.

Suggested Citation

  • De Cesare, Luigi & Sportelli, Mario, 2022. "A non-linear approach to Kalecki’s investment cycle," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 193(C), pages 57-70.
    • Handle: RePEc:eee:matcom:v:193:y:2022:i:c:p:57-70
    DOI: 10.1016/j.matcom.2021.10.001
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