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Relaxation Oscillations in the Early Development of Econometrics: A Road Not Taken

In: Modeling Economic Instability

Author

Listed:
  • Michaël Assous

    (Université Lumière Lyon 2)

  • Vincent Carret

    (Université Lumière Lyon 2)

Abstract

At the turn of the 1920–1930sOscillationrelaxation, TinbergenTinbergen, Jan was not the only Dutch economist trying to make sense, mathematically, of economic fluctuationsFluctuations. In particular, Ludwig Hamburger, a Dutch engineer interested in economics, also tried to develop a representation of business cycles through the use of relaxation oscillations. Hamburger had noticed in the statistical exploration of business cycles conducted during the 1920s that the oscillations (of production, of trade, etc.) often had a fixed amplitude but a variable periodicity; from his engineering background, he was also aware of the work of his countryman Balthasar van der Pol, who had developed the theory of relaxation oscillations, a type of oscillator modeled by a nonlinear equation whose solution was a limit cycle with a fixed amplitude and a period depending on the “resistance” when the model was an electrical circuit.

Suggested Citation

  • Michaël Assous & Vincent Carret, 2022. "Relaxation Oscillations in the Early Development of Econometrics: A Road Not Taken," Springer Studies in the History of Economic Thought, in: Modeling Economic Instability, chapter 0, pages 33-53, Springer.
    • Handle: RePEc:spr:spshcp:978-3-030-90310-7_3
    DOI: 10.1007/978-3-030-90310-7_3
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