KO-7   Monday July 8 - 16:30

MS8 Part 2 of 3 - Geometric Singular Perturbation Theory and Applications

MS8 Part 1 of 3 - MS8 Part 3 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

16:30 - 17:00 - Niclas Kruff - Identifying critical parameters for singular perturbation reductions of reaction networks and population models [Abstract]

17:00 - 17:30 - Hildeberto Jardon - Some applications of geometric singular perturbation theory to control systems [Abstract]

17:30 - 18:00 - Ian Lizarraga - Approximating invariant slow manifolds and fast fibers in nonstandard slow-fast systems [Abstract]

18:00 - 18:30 - Theodore Vo - Delayed Bifurcation Phenomena in Multi-Timescale Reaction-Diffusion Equations [Abstract]