Stability-Instability of Periodic Solutions and Chaos in Physical Models of Musical InstrumentsReport as inadecuate




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1 Analyse et synthèse sonores Paris STMS - Sciences et Technologies de la Musique et du Son

Abstract : We study multiple solutions and chaos in simple physical models and theirstabilities. A path toward a unique solution can be based upon the low pass character of the linear element. Chaoticsignals are shown to cover a large space ranging from a sound perceived asharmonic without noise up to an essentially noisy sound. This is a very importantfeature for sound synthesis since the synthesis of noise and irregularities oftraditional instruments has always been difficult and unsatisfactory. Methods areproposed to find the solutions and their stabilities, and to obtain controllablesystems with periodic and chaotic behaviors.

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Keywords : analyse et synthèse sonores acoustical chaos physical models non sinusoidal components

Mots-clés : Informatique musicale





Author: Xavier Rodet -

Source: https://hal.archives-ouvertes.fr/



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