## Tuesday July 26/8:00

MS16/Harbor 3

# Analysis and Applications of Hamiltonian Systems (Part 1 of 2)

The theory of Hamiltonian systems naturally arises throughout mathematics, science and engineering wherever variational principles and conservative dynamics occur. Perhaps because of the widespread utility of Hamiltonian systems, a number of specialized, and to a large extent distinct, sub-areas have arisen, for example symplectic geometry, KAM theory and nearly integrable systems, symplectic integration, and Hamiltonian partial differential equations. In these sessions, the speakers will provide an overview of some diverse and active research areas in Hamiltonian systems and describe a number of current applications.
(For part 2, see MS25.)
**Organizers: John H. Maddocks
University of Maryland, College Park,
and Kenneth R. Meyer
University of Cincinnati**
*8:00:* **Central Configurations with Clusters of Smalll Masses**.
Richard Moeckel, University of Minnesota Minneapolis
*8:30:* **Eigenvalues of Hamiltonian Matrices with Dissipative Perturbations**.
John H. Maddocks, Co-organizer, and *Michael L. Overton*, Courant Institute of Mathematical Sciences, New York University
*9:00:* **Quasi-Periodic Solutions with Two Frequencies in the Perturbed Kepler Problem**.
Martin Kummer, University of Toledo
*9:30:* **Lagrangian Transport and Mixing in Fluid Mechanics: A Dynamical Systems Approach**.
Stephen Wiggins, California Institute of Technology

(For part 2, see MS25.)