Monday, May 24

Applied Topology in Dynamics

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

Many ideas in dynamics are based on topology. This minisymposium will display a wide variety of interactions where the topology tells the scientist what behavior to expect. For example the topology of Fermi surfaces determines the conductivity properties of "normal" metals in strong magnetic fields (Novikov). Similarly basic topological considerations determine the recurrence patterns in (non-convex) open billiards (Kennedy). The topological theory of Cartheodory, Cartwright, and Littlewood allows Alligood to describe sudden changes in the recurrent sets of the forced damped pendulum. For Barge the continuity of topology determines the discrete arrangements of tilings and quasicrystals.

Organizers: James A. Yorke and Cancelled Serguei P. Novikov
University of Maryland, College Park

Cancelled 10:00-10:25 Topological Phenomena in the 3D Single Crystal Normal Metals
Serguei P. Novikov, Organizer
10:30-10:55 Topology of One-Dimensional Tilings
Marcy Barge, Montana State University, Bozeman
11:00-11:25 The Topology of Explosions:Sudden Appearance of Recurrent Points
Kathleen T. Alligood, George Mason University
11:30-11:55 Topological Horseshoes
Judy Kennedy, University of Delaware; James A. Yorke, Organizer; and Sahin Kocak, Anadolu University, Turkey

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MMD, 5/24/99