3:00 PM-5:00 PM
Room: Ballroom I
For many experimental setups, no mathematical model is available. Embedding Techniques (introduced by Ruelle and Takens and made dynamic by Eckmann-Ruelle and Sano-Sawada) allow the reconstruction of the attractor numerically from the data. But these techniques are only the beginning. The problem is how can we create more reliable, more useful reconstructions. Can we compute Lyapunov exponents reliably? How many? Given a reconstruction (and no model), can (small) feedback controls be used to control the dynamics of the experiment? The idea is to select unstable trajectories of the system and use feedback control to stabilize these orbits.
For Part II, see MS26.
Organizers: James A. Yorke
University of Maryland, College Park
MMD, 2/11/99
LMH, 1/8/99; tjf, 2/2/99