Port-Hamiltonian Representation of Dynamical Systems. Application to Self-Sustained Oscillations in the Vocal Apparatus - Archive ouverte HAL
Communication Dans Un Congrès Année : 2019

Port-Hamiltonian Representation of Dynamical Systems. Application to Self-Sustained Oscillations in the Vocal Apparatus

Résumé

Phonation is a natural example of nonlinear dynamical system with self-sustained oscillations, here resulting from the controlled nonlinear coupling between the deformable vocal folds and the airflow expired from the lungs through the glottis and the vocal tract. As a proof of concept, we propose a minimal model of the full vocal apparatus using the port-Hamiltonian representation that emphasises on the structure of a system (on the separation between the behaviour of the subsystems and their interconnection) and on the power exchanges. Numerical results on bifurcations are qualitatively discussed in relation to voice pathologies.
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Dates et versions

hal-03020400 , version 1 (23-11-2020)

Identifiants

  • HAL Id : hal-03020400 , version 1

Citer

Fabrice Silva, Thomas Hélie, Victor Wetzel. Port-Hamiltonian Representation of Dynamical Systems. Application to Self-Sustained Oscillations in the Vocal Apparatus. 7th Int. Conf. on Nonlinear Vibrations, Localization and Energy Transfer, Jun 2019, Marseille, France. pp.ISBN 978-2-909669-26-7. ⟨hal-03020400⟩
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