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Trends in Differential Equations and Dynamical Systems

October 22-24, 1999
Memorial University of Newfoundland

Sponsored by AARMS,
the Atlantic Association for Research in the Mathematical Sciences

This is a special meeting which will run parallel to the annual APICS Mathematics/Statistics/Computer Science Conferences. Contributed papers of 20 minutes duration are encouraged. Abstracts and titles should be sent by email to Xingu Zou no later than September 30. In your email, please make it very clear that your talk is intended for the AARMS session.

Confirmed Invited Papers

Speaker Jack Hale, Georgia Institute of Technology
Title Convective diffusion equations
In this talk, we discuss the dynamics on the compact global attractor of a scalar parabolic equation in one space dimension with convective and source terms. We are particularly interested in the effect of having the convective terms and in the situation when the diffusion approaches zero. In the latter case, we have a conservation law with a source term. The talk will expose results and ideas rather than proofs.

Speaker Jianhong Wu, York University
Title Neural Dynamics: Signal Delay and Its Impact on Content-Addressable Memory
[Abstract to come ]

Speaker Bill Langford, Fields Institute/Guelph University
Title Bifurcation and Symmetry
[Abstract to come ]

Speaker Konstantin Mischaikow, Georgia Institute of Technology
Title Coarse Numerics for Exploratory and Rigorous Dynamics
A rapidly growing area of numerical analysis that of approximating the dynamics of differential equations, e.g. the computation of periodic orbits, heteroclinic orbits, invariant tori, etc. Many of these methods are based on knowing what object one wants to study and having a reasonable approximation of that object. This talk will be about our attempts to develop efficient numerical methods that can be used to detect the existence of these types of objects, to give a reasonable approximation of their location in phase space and even to give rigorous computer assisted proofs of existences. These methods involve a nice mixture of computational geometry, dynamics and algebraic topology. Since this talk is intended for a general audience, most of the material will be presented in the context of differential equations in the plane.)