Trends in Differential Equations and Dynamical Systems
October 2224, 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
ContentAddressable 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.)

