Sunday, May 18

3:00 PM-5:00 PM Ballroom I - Level B

Spatio-Temporal Chaos: Characterization and Control

Many spatially extended physical systems exhibit complex behavior in time as well as space. Such spatio-temporal chaos has been observed in fluid convection, chemical reactions, wide-area lasers, biological aggregation patterns, etc. and can be described by deterministic PDE. Concepts appropriate for low-dimensional dynamical systems are of limited use in these high-dimensional systems. This minisymposium explores new approaches for characterizing and controlling the dynamics of such systems.The talks will focus on large-scale properties (phase diffusion), emerging localized objects (defects, spirals,...) and their dynamical relevance, as well as the stabilization of embedded periodic states by time-delay feedback.

Organizer: Hermann Riecke
Northwestern University

3:00 Predicting Spiral Chaos in Rayleigh-Benard Convection: A Phase Dynamics Approach to the Onset and Properties of Spatiotemporal Chaos
Michael C. Cross, California Institute of Technology
3:30 Using Finite-Time Lyapunov Dimensions to Measure the Dynamical Complexity of Topological Defects
David Egolf, Cornell University
4:00 Phase Diffusion in Localized Spatio-Temporal Amplitude Chaos of Parametrically Excited Waves
Glen D. Granzow, Northwestern University; and Hermann Riecke, Organizer
4:30 Suppressing Spatio-Temporal Chaos Using Time-Delayed Feedback
Michael E. Bleich and Joshua E. S. Socolar, Duke University; David Hochheiser and Jerome V. Moloney, University of Arizona

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TMP, 4/3/97