**Wednesday Evening, October 25**
## MS44

Applied Nonlinear Dynamics
of Partial Differential Equations

The speakers in this minisymposium will discuss problems that lie at the
interface between applied dynamical systems and partial differential equations,
in the context of four different applications: materials science (microstructure
in shape-memory alloys), laser optics (low-dimensional regular and chaotic
behavior in ring-cavity lasers), dynamics of space-curves and DNA molecules
(completely-integrable, continuum Heisenberg spin-chain models), and
water waves (a new integrable model for waves in shallow water). The speakers
will emphasize how geometric structures that exist in the corresponding
infinite-dimensional phase spaces, such as homoclinic orbits, invariant
manifolds, soliton solutions with discontinuous derivatives, or low-dimensional
attractors can be used to describe the physical features of the problems at hand.
They will present comparisons between analytical and computational.
Organizers: Annalisa Calini, Case Western Reserve University; Roberto Camassa, Los Alamos National Laboratory; and Gregor Kovacic, Rensselaer Polytechnic Institute

**5:00 Dynamics, Hysteresis and Memory
in a Class of Shape-Memory Alloys**
- Pieter J. Swart, Los Alamos National Laboratory

**5:30 Regular and Chaotic Dynamics of the Maxwell-Bloch Equations**
- Thomas A. Wettergren, Naval Undersea Warfare Center

**6:00 Dynamics of Curves and Integrable Equations **
- Annalisa Calini, Organizer

**6:30 New Completely Integrable Evolution Equations**
- Roberto Camassa, Organizer

7/28/95