Parameter identification of a physical model of brass instruments by constrained continuation

Numerical continuation using the Asymptotic Method (ANM), together with Harmonic Balance (HBM), makes it possible to follow periodic solutions of non-linear dynamical systems such as physical models wind instruments. This has been recently applied practical problems categorization musical instruments from calculated bifurcation diagrams [V. Fréour et al. Journal Acoustical Society America 148 (2020) https://doi.org/10.1121/10.0001603 ]. Nevertheless, one problem often encountered concerns uncertainty on some parameters model (reed in particular), values which are set almost arbitrarily because they too difficult measure experimentally. In this work we propose a novel approach where constraints, defined experimental measurements, added system. operation allows uncertain be relaxed and solution constraints performed. It is thus quantify variations along branch. The application technique trumpet presented paper, derived measurements player.