MS19 ~ Monday, May 22, 1995 ~ 10:00 AM

Continua in Dynamical Systems

During the last ten years, a boundary area between dynamical systems and continuum theory (a branch of topology) has been developing rapidly. A continuum is a compact, connected metric space. Continuum theorists study fractal structures in topology. These structures often occur as invariant sets even in very nice dynamical systems (C or those arising from physical models). Fractal continua occur as integral parts in the Smale horseshoe, Henon, Ikeda, Lorenz, forced van der Pol, and forced pendulum systems, for example. This association of dynamics and exotic continua dates back to 1932 with Birkhoff's remarkable curve. Probably the most spectacular recent example is Krystyna Kuperberg's C_0-counterexample to the Seifert conjecture. The speakers will discuss some of the advances that have been made.

Organizer: Judy A. Kennedy, University of Delaware

Recapitulation in Attractors
Marcy Barge, Montana State University; Karen M. Brucks, University of Wisconsin, Milwaukee; and Beverly E.J. Diamond, College of Charleston
Flows on Manifolds: The Seifert Conjecture
Krystyna Kuperberg, Auburn University
Basins of Wada
James A. Yorke, University of Maryland, College Park; and Judy A. Kennedy, Organizer
The Topology of Stirred Fluids
Judy A. Kennedy, Organizer; and James A. Yorke, University of Maryland, College Park