We would like to find a high school computer science teacher to join our group. Higher order corrections are also derived using a systematic framework based on the notion of an underlying slow manifold. This new formalism enables us to establish the validity of the Swift-Hohenberg approximation over long time scales for values of the pumping near threshold. In particular, the respective traveling wave solutions play corresponding roles in the attractor dynamics.
Numerical simulations explore the sharpness of the results.
We show that this is the case for random Cayley graphs. While the above abstract sounds highly technical, this presentation is designed with the beginning graduate students in mind and won the 1996 Student-Faculty Colloquium Contest at the University of Maryland. Graduate students are encouraged to attend. Refreshments will be served beforehand. The Leslie models can be viewed as Poincare maps of systems of integral equations derived from the McKendrick PDEs.