Stability/Instability of Periodic Solutions and Chaos in Physical Models of Musical Instruments

Xavier Rodet (1)

1 Analyse et synthèse sonores [Paris]

We study multiple solutions and chaos in simple physical models and their stabilities. A path toward a unique solution can be based upon the low pass character of the linear element. Chaotic signals are shown to cover a large space ranging from a sound perceived as harmonic without noise up to an essentially noisy sound. This is a very important feature for sound synthesis since the synthesis of noise and irregularities of traditional instruments has always been difficult and unsatisfactory. Methods are proposed to find the solutions and their stabilities, and to obtain controllable systems with periodic and chaotic behaviors.

Mots clés: non sinusoidal components; physical models; acoustical chaos; analyse et synthèse sonores

Mots clés: Informatique musicale

Domaines: Acoustique [physics.class-ph]; Traitement du signal et de l'image [eess.SP]; Neurosciences

Xavier Rodet. Stability/Instability of Periodic Solutions and Chaos in Physical Models of Musical Instruments. ICMC: International Computer Music Conference, 1994, Aarhus, Denmark. pp.1-1. ⟨hal-01157140⟩