Oscillation, Chaos and Control of Nonlinear Dynamical Models

Xavier Rodet (1)

1 Analyse et synthèse sonores [Paris]

This paper describes an approach to the functioning of musical instruments with sustained sound as nonlinear dynamical systems. Basic models of musical instruments are studied as nonlinear dynamical systems with delay. The behavior of models, stability, oscillation, periodicity and chaos is determined. The number of periodic solutions is reduced. In chaotic-like signals, the proportion of sinusoidal versus non-sinusoidal components can be varied at will.

Mots clés: analyse et synthèse sonores; non linear dynamical model; periodic oscillation; chaos

Mots clés: Informatique musicale

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

Xavier Rodet. Oscillation, Chaos and Control of Nonlinear Dynamical Models. NOLTA 95, Dec 1995, Las Vegas, United States. pp.1-1. ⟨hal-01161445⟩