KO-7   Tuesday July 9 - 08:45

MS8 Part 3 of 3 - Geometric Singular Perturbation Theory and Applications

MS8 Part 2 of 3

Created over 40 years ago, the field of Geometric Singular Perturbation Theory (GSPT) has flourished. There has been an explosion in the number of applications as well as in the number of tools available to study them. The speakers in this minisymposium will present the most recent methodological advances in GSPT, including for geometric desingularization, Gevrey regularity, blow-up for maps, the impact of stochastic effects, canards in PDE, non-standard slow-fast splitting, and computational singular perturbation theory. The speakers will also present a wide range of applications of GSPT in cell biology, neuroscience, pattern formation, advection, control, and chemical networks among others. These applications have motivated the recent methodological advances, and in turn the new methods have opened up many new applications.

Tasso Kaper
Peter de Maesschalck

08:45 - 09:15 - Paul Carter - Spike-adding canard explosion of bursting oscillations in a class of square-wave bursters [Abstract]

09:15 - 09:45 - Peter Szmolyan - Periodic solutions and and switching behavior in a model of bipolar disorder [Abstract]

09:45 - 10:15 - Peter De Maesschalck - Progress in the study of canards through folded nodes [Abstract]

10:15 - 10:45 - Tasso Kaper - Theory and Applications of delayed passage through Hopf bifurcations in reaction-diffusion equations [Abstract]