Last week, I attended to the 2017’s edition of the GDR DYNOLIN that was held at the Clément Ader Institute in Toulouse, France. This year, the event was organised by S. Séguy, G. Michon and C.H. Lamarque.
I presented my work on the experimental tracking of limit-point bifurcations. The method explained in my talk uses control-based continuation to collect steady-state periodic responses of the tested specimen in a neighbourhood of a bifurcation point. Collected data points are then approximated using a Gaussian Process regression, which, in turn, can be effectively used by standard algorithms for bifurcation tracking. Additional data points are collected as the continuation algorithm progresses in a two-dimensional parameter space.