Sunday, May 23

Differential Delay Equations: Theory and Applications

10:00 AM-12:00 PM
Room: Ballroom I

This minisymposium will focus on recent developments in the theory and applications of differential-delay equations. The speakers will describe applications from high-dimensional systems (neural networks, networks of lasers) and engineering applications such as cutting tool dynamics. They will discuss theoretical studies involving traveling waves and bifurcation and anticipate that the presentations will appeal to researchers with an interest in infinite dimensional dynamical systems and to those concerned with the applications.

Organizers: John Mallet-Paret
Brown University

10:00-10:25 Regenerative Effect and Chatter: An Analytical Study
Yan Liang and N. Sri Namachchivaya, University of Illinois, Urbana-Champaign
10:30-10:55 Nonexpansive Periodic Operators in l1 (Z) and Super-high-frequency Solutions of a Discontinuous Differential-Delay Equation
Roger D. Nussbaum, Rutgers University; and Eugenii Shustin, Tel Aviv University, Israel
11:00-11:25 Dynamics of Time Delayed Ring Laser Systems
Rajarshi Roy, Georgia Institute of Technology
11:30-11:55 Delay and Traveling Waves in Reaction-Diffusion Equations
Xingfu Zou, Georgia Institute of Technology

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MMD, 2/9/99
LMH, 1/7/99; tjf, 2/1/99