Bifurcation, Period Doublings and Chaos in Clarinetlike Systems

Christian Maganza (1) , René Causse (1) , Franck Laloë (1)

1 Equipe Acoustique instrumentale

Wind instrument provide interesting hydrodynamical systems where non-linearities are important but well localized. A simple analysis shows that these systems should undergo Feigenbaum-type route to chaos, with a cascade of period doublings. Experiments have been performed with an acoustical resonator and an "artificial" excitation (nonlinearities controlled by either analogic or digital devices); they have confirmed these predictions.

Mots clés: acoustical chaos; acoustique instrumentale; wind instruments; hydrodynamics; nonlinear hydrodynamics

Domaines: Acoustique [physics.class-ph]; Vibrations [physics.class-ph]; Acoustique [physics.class-ph]; Vibrations [physics.class-ph]; Mécanique des solides [physics.class-ph]; Mécanique des structures [physics.class-ph]; Musique, musicologie et arts de la scène; Son [cs.SD]

Christian Maganza, René Causse, Franck Laloë. Bifurcation, Period Doublings and Chaos in Clarinetlike Systems. EPL - Europhysics Letters, 1986, 1 (6), pp.295-302. ⟨hal-01105547⟩