Two focuses on the use of Port-Hamiltonian in Musical acoustics

Abstract: This talk illustrates the motivations for using port-Hamiltonian systems (PHS) in musical acoustics through two complementary case studies, one elementary and one advanced. The first part shows how the basic tools of the PHS framework can already be used to construct the simplest passive prototype of self-oscillating instrument, with the aim of making explicit the fundamental mechanisms of energy exchange and auto-oscillation. The second part addresses a more advanced scenario, where homogenisation methods are combined with port-Hamiltonian formulations to describe infinite-dimensional dynamics, exemplified by acoustic propagation in a pipe with a porous wall. Together, these two perspectives illustrate the range of modelling possibilities offered by the port-Hamiltonian framework, from elementary prototypes to sophisticated multiscale descriptions.

mathematical physicsanalysis of PDEsdifferential geometrydynamical systemsfunctional analysisnumerical analysisoptimization and controlspectral theory

Audience: researchers in the discipline

Port-Hamiltonian Seminar

Series comments: Slides and recordings can be found here: uni-wuppertal.sciebo.de/s/CQfBsXr9iOI17ZY