Manlab

Manlab : a numerical continuation and bifurcation analysis software

Software based on the symptotic numerical method (ANM) and the harmonic balance method (HBM) for the continuation of static and periodic solutions of nonlinear dynaicl systems.

Articles:

• Karkar, S., Cochelin, B., & Vergez, C. (2013). A high-order, purely frequency based harmonic balance formulation for continuation of periodic solutions: The case of non-polynomial nonlinearities. Journal of Sound and Vibration, 332(4), 968-977. [https://arxiv.org/pdf/1211.6626]
• Karkar, S., Cochelin, B., & Vergez, C. (2014). A comparative study of the harmonic balance method and the orthogonal collocation method on stiff nonlinear systems. Journal of Sound and Vibration, 333(12), 2554-2567. [https://hal.science/hal-01065672/file/compar-HBM-colloc_revision2v2.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]

Manual : Karkar, Sami, et al. User guide manlab 2.0. Technical report, Laboratoire de Mécanique et d’Acoustique (LMA), CNRS UPR 7051, 2012. Link : [http://manlab.lma.cnrs-mrs.fr(http://manlab.lma.cnrs-mrs.fr/)]

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