Saturday, May 15

MS70
Lattice Dynamical Systems

Sponsored by SIAM Activity Group on Dynamical Systems (Invited Minisymposium)

10:30 AM-12:30 PM
Room: Capitol Center

Lattice differential equations are infinite systems of ODE's, modeled on an underlying spatial lattice with some regular structure, for example, the integer lattice in the plane. Such systems arise as models in many applications, including material science, image processing, and biology. As mathematical problems they in one sense lie between ODE's and PDE's, but very often they exhibit new phenomena not found in either of these fields. They raise a host of challengs to the researcher, and are of broad interest to scientists and mathematicians.

Organizer: John Mallet-Paret
Brown University

10:30-10:55 Traveling Wave Solutions to Lattice Differential Equations

Christopher E. Elmer, National Institute of Standards and Technology; and Erik S. Van Vleck, Colorado School of Mines

11:00-11:25 On a Discrete Convolution Model for Phase Transitions

Adam Chmaj, Utah State University; and Peter W. Bates, Brigham Young University

1130-11:55 Traveling Waves in Cellular Neural Networks and Periodic Bistable Structures

Wenxian Shen, Auburn University

12:00-12:25 Traveling Fronts in Discrete Space and Continuous Time

K. P. Hadeler, Universität Tübingen, Germany; and Bertram Zinner, Auburn University

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tjf, 1/20/99, MMD, 1/27/99