Monday, May 24
MS18
Nonlinear Evolution, Separatrix Splitting, and Chaos in Dynamical Systems
10:00 AM-12:00 PM
Room: Superior A
This minisymposium will focus on singular perturbation methods used
in the analysis of the nonlinear behavior of complicated dynamical
systems. These methods include, but are not limited to, reductive
perturbative techniques and exponential asymptotics. The speakers
will discuss the scope of the current formulations, including both
avenues of further development, as well as limitations and possible
alternative approaches, associated techniques for the identification
and characterization of chaotic/turbulent solutions, and applications
to nonlinear optics, astrophysical and space plasmas, classical
dynamics, and general relativity.
Organizer: S. Roy Choudhury
University of Central Florida
- Cancelled
10:00-10:25 Turbulent
Behavior for the Maxwell-Bloch Equations of Nonlinear Optics
Gregor Kovacic and Victor Roytburd,
Rensselaer Polytechnic Institute
- Cancelled
10:30-10:55 The Fuchsian
Approach to Singularity Formation
Satyanad Kichenassamy, Université de Reims, France
- Cancelled
10:00-10:25 Onset of
Chaos in Singularly Perturbed Systems
Alexander Tovbis, University of Central Florida
- 10:30-10:55 Nonlinear Evolution and Chaos in the
Kelvin-Helmholtz Instability of High Velocity Anisotropic Shear Layers
- Kevin G. Brown, University of Central Florida, and S. Roy Choudhury,
Organizer
- 11:00-11:25 Local
and Nonlocal Solitary Waves of the Boussinesq Equation
- Prabir Daripa, Texas A&M University
- 11:30-11:55 Stability
of Motion in Hamiltonian Systems with Impacts
- V. Zharnitsky, Brown University
MMD, 5/24/99