Monday, May 24

Embeddings and Control - Part I of II

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

3:00-3:25 Visualization, Identification and Control of Chaos in Biological Systems
William L. Ditto, Georgia Institute of Technology
3:30-3:55 Nonlinear Prediction, Filtering and Control of Chemical Systems from Time Series
Kenneth Showalter and Valery Petrov, West Virginia University, Morgantown
4:00-4:25 Influence of Noise on Control of Chaotic Lasers
Rajarshi Roy, Georgia Institute of Technology; and Shane D. Ross, California Institute of Technology
4:30-4:55 Controlling and Synchronizing Space Time Chaos
Stefano Boccaletti, University of Navarra, Pamplona, Spain; F. Tito Arecchi and Jean Bragard, Istituto Nazionale di Ottica, Florence, Italy

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