Summary: Announcement one week course 7-11 January 2008
Multiscale Modeling and Singular Perturbations
Singular perturbations arise naturally when the dynamical changes in systems
occur at different time scales. These systems are called fast-slow systems or multi-
scale systems. Numerous examples arise in optics, chemistry, biology neurophysiol-
ogy, celestial mechanics and pattern formation, to mention a few areas.
Geometric Singular Perturbation Theory is the mathematical framework that
yields the tools, like the slow manifold and Fenichel's coordinates, to explore the
complicated dynamical behaviour of these systems.
In this course there will be expositions of the fundamental mathematical con-
cepts as well as lectures that highlight the various application areas.
There will be seminar talks (particularly on Friday) by the following speakers:
Freddy Dumortier, Chris Jones, Floris Takens and Ferdinand Verhulst (all to be
Location University of Twente