MS3 ~ Sunday, May 21, 1995 ~ 10:00 AM

Long Time Stability in Hamiltonian Systems

The subject of long time stability in Hamiltonian systems has its roots in questions about the motion of celestial bodies, especially in the solar system. Today, important stability questions still arise in celestial mechanics and in other areas, for example beam stability in high energy particle accelerators. Current research usually mixes numerical and analytical techniques such as symplectic integration, frequency analysis, invariant manifolds, and normal forms. Each approach has drawbacks: analytic techniques are usually not as precise as desired, while the faithfulness of numerical techniques is sometimes questioned. The speakers will focus on analytical techniques, and their relation to applications and to numerical methods.

Organizer: H. Scott Dumas, University of Cincinnati

Geometry and Chaos Near Resonant Equilibria of 3-DOF Hamiltonian Systems
Stephen Wiggins, California Institute of Technology
An Analog of Greene's Criterion in Higher Dimensions
Stathis Tompaidis, University of Toronto, Canada
Long-Term Stability at HERA
Tanaji Sen, Deutsches Elektronen-Synchrotron, Germany
Quasifrequencies and Long Time Stability for Nearly Integrable Hamiltonian Systems
H. Scott Dumas, Organizer