MS32 ~ Tuesday, May 23, 1995 ~ 10:00 AM

Dynamical Systems, Mechanics and Control

This minisymposium is about the interplay between dynamical systems methods, geometric methods and traditional mechanics and control theoretic methods. Dynamical systems has had a close relationship with mechanics of at least since the time of Poincar‚, and the use of dynamical systems and geometric methods is undergoing continued development and maturation today. Bifurcation theory, chaotic dynamics, and symmetry are amongst the many concepts that are having an important influence on mechanics. Somewhat more recently, these ideas have also interacted in a beneficial way with control theory. For example, the theory of connections and geometric phases is currently undergoing rapid development. The speakers will discuss some of the interdisciplinary work in this area.

Organizer: Jerrold E. Marsden, University of California, Berkeley

On the Dynamics of Phase Transitions in Elastic Bars
Philip Holmes, Princeton University
Geometry of Resonance Zones and Singularity Theory
Mark Levi, Rensselaer Polytechnic Institute
Geometric Phases and Robotic Locomotion
Richard M. Murray and Scott D. Kelly, California Institute of Technology
Reduction of Nonholonomic Mechanical Systems with Symmetery
Jerrold E. Marsden, Organizer