Monday, May 24

MS20
Stability and Bifurcations of Relative Equilibria: Theory

10:00 AM-12:00 PM
Room: White Pine

Relative equilibria are trajectories of dynamical systems which are stationary modulo a group action. They include steady rotations of physical systems about fixed axes without changes of `shape' and are of considerable interest in areas as diverse as N-body problems in celestial mechanics, molecules, systems of point vortices, multibody mechanics and rotating fluid masses. Some of these applications will feature in other (proposed) minisymposia at this conference. This session will be devoted to recent theoretical developments which improve our understanding of the stability properties and bifurcations of relative equilibria and underpin new computational techniques for applications..

Organizers: Mark Roberts
University of Warwick, Coventry, United Kingdom
James Montaldi
Université de Nice, Valbonne, France

10:00-10:25 Stabilizing and Destabilizing Effects of Dissipation on Manifolds of Relative Equilibria

Gianne Derks, University of Surrey, United Kingdom

Cancelled 10:30-10:55 Mechanics on Homogenous Spaces

Andrew Lewis, Queen's University, Kingston, Canada

10:30-10:55 Bifurcation from Relative Periodic Solutions

Claudia Wulff, Freie Universität Berlin, Germany; Jeroen S.W. Lamb, University of Warwick, United Kingdom; and Ian Melbourne, University of Houston

11:00-11:25 On Relative Normal Modes

Eugene Lerman, and T. Tokieda, University of Illinois, Urbana-Champaign

11:30-11:55 Bifurcations from Symmetric Relative Equilibria

Debra Lewis, University of California, Santa Cruz

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MMD, 5/11/99