Monday, May 24

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 NewLocal and Nonlocal Solitary Waves of the Boussinesq Equation
Prabir Daripa, Texas A&M University
11:30-11:55 NewStability of Motion in Hamiltonian Systems with Impacts
V. Zharnitsky, Brown University

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MMD, 5/24/99