Summary: Multiscale Modeling and Singular Perturbations
January 11 2008
10:00-10:45 Floris Takens Strange attractors in constrained equations.
10:45-11:30 Ferdinand Verhulst Algebraic timescales with applications to parametric excitation.
11:30-12:00 coffee break
12:00-12:45 Arjen Doelman Pattern formation in reaction diffusion equations.
12:45-14:00 lunch break
14:00-14:45 Hil Meijer & Stephan van Gils Deep Brain Stimulation: from thalamic pathology to suppression.
15:00-15:45 Freddy Dumortier Canard cycles with different fast layers.
Takens: Strange attractors in constrained equations.
We discuss persistent strange attractors in simple (only two slow variables) con-
strained equations. Not only Lorenz like attractors but also attractors which are
suspensions of interval maps. In the latter class there are examples where the pat-
tern of bifurcations between periodic and strange attractors is different from what
is known for ordinary (smooth) interval maps.
Verhulst: Algebraic timescales with applications to parametric excitation.