Friday, August 11
MS31
Recent Applications of Hamiltonian Systems
10:00 AM-12:00 PM
Orchard & Pikake (Salon 7 & 8)
The central theme in this minisymposium is new and significant applications of Hamiltonian dynamics to a variety
of problems in ideal fluid flows. The problems discussed include finite time Lagrangian mixing, periodic motions of
coaxial vortex rings, decomposition of atmospheric weather patterns into the integrable streamlines of point vortex
systems on the sphere, and modelling of heat transport in ocean convection by the point vortex discretization of a two-
layer quasi-geostrophic model. These topics are relevant to modern scientific and industrial applications.
Organizer: Chjan C. Lim
Rensselaer Polytechnic Institute, USA and National University of Singapore, Singapore
- 10:00-10:25 Breakup and Recurrence of KAM Tori in Nonanalytic Twist Maps
- Bambi Hu, Hong Kong Baptist University, China; and University of Houston, USA
- 10:30-10:55 Leap-frogging Vortex Rings: Hamiltonian Structure, Geometric Phases and Discrete Reduction
- Jerrold E. Marsden and Banavara N. Shashikanth, California Institute of Technology
- 11:00-11:25 Decomposing Atmospheric Weather Patterns Using Integrable Vortex Dynamics
- Paul K. Newton, University of Southern California, USA
- 11:30-11:55 KAM Tori and Heat Transport in Open Ocean Convection
- Chjan C. Lim, Organizer