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
3/15/95