Numerical continuation of periodic solution of a clarinet-like instrument physical model

Numerical continuation and bifurcation analysis of a clarinet-like instrument physical model

Uncovering the oscillation threshold of a physical model of a clarinet: minimal mouth pressure as a function of reed damping and initial gap, controlled by the embouchure.

Articles :

• Karkar, S., Vergez, C., & Cochelin, B. (2012). Oscillation threshold of a clarinet model: A numerical continuation approach. The Journal of the Acoustical Society of America, 131(1), 698-707. [https://hal.archives-ouvertes.fr/hal-00667987/document]
• Karkar, S., Vergez, C., & Cochelin, B. (2012, April). Numerical tools for musical instruments acoustics: analysing nonlinear physical models using continuation of periodic solutions. In Acoustics 2012. [https://hal.science/hal-00810847v1/file/hal-00810847.pdf]

PhD Dissertaion : Karkar, S. (2012). Méthodes numériques pour les systèmes dynamiques non linéaires. Application aux instruments de musique auto-oscillants (Doctoral dissertation, Aix-Marseille University). [https://theses.hal.science/tel-00742651/file/these-karkar_2012_v2.pdf]

[Work conducted during my PhD at LMA-CNRS (dir. Bruno Cochelin et Christophe Vergez)] (2009-2012)