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

*3/15/95*