Title: Folded node — new perspectives
Abstract: Folded-node is a singularity in slow-fast systems known for the occurence of multiple canard trajectories, that is trajectories that first follow an attracting slow manifold, pass through the vicinity of a fold line and then continue along a repelling slow manifold. Near a folded node, generically, a weak, a strong, and possibly some secondary canards occur. Secondary canards are trajectories that make some number of small amplitude rotations around the weak canard. This talk gives a new perspective on the proofs of the existence of the weak canard and secondary canards.
Bio: Martin Krupa obtained his PhD in equivariant dynamical systems in1988 under the supervision of Martin Golubitsky. Subsequently he has held positions in The Netherlands (University of Groningen and Radboud University Nijmegen), at the Technical University of Vienna, at New Mexico State University, at Inria in France and finally at the Université Côte d’Azur in Nice (since 2017). His main contributions are in equivariant dynamical systems, singular perturbation theory (theory of slow-fast systems) and its applications in neuroscience.