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Wind and bowed string musical instruments make up the family of self-sustained instruments. The production of sound is studied in this chapter from the point of view of non-linear dynamical systems. Based on simple but useful physical models of each category of instrument, the different types of sound produced are associated with different types of mathematical solutions: equilibria, periodic solutions, quasi-periodic solutions, etc. The emergence and evolution of these solutions as a function of parameters relating to the musician or the instrument are studied by introducing notions from bifurcation theory.

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Auto-oscillations, Regimes and Bifurcations in Self-sustained Musical Instruments

  • 章节

  • 发表日期：

    2026年

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  • Christophe Vergez,
  • Bruno Cochelin,
  • Tom Colinot,
  • Etienne Gourc,
  • Fabrice Silva

摘要

Wind and bowed string musical instruments make up the family of self-sustained instruments. The production of sound is studied in this chapter from the point of view of non-linear dynamical systems. Based on simple but useful physical models of each category of instrument, the different types of sound produced are associated with different types of mathematical solutions: equilibria, periodic solutions, quasi-periodic solutions, etc. The emergence and evolution of these solutions as a function of parameters relating to the musician or the instrument are studied by introducing notions from bifurcation theory.