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Mathematics Colloquium in Memory of Edwin Duda: Attractors in Dynamics
September 04 at 5:00 PM to 6:00 PMUngar Room 402
Mathematics Lecture
James Keesling
Professor and Chair of Mathematics
University of Florida
in memory of Professor Edwin Duda
will present
Attractors in Dynamics
Friday, September 4, 2009, 5:00pm
Ungar Room 402
Reception immediately following in Ungar Room 521
All interested persons are welcome to attend.
Abstract: Attractors have been an important focus in the study of dynamics. When a dynamical system maps a compact neighborhood into its interior, the limiting behavior in that neighborhood is an attractor. There are two ways that attractors are interesting. One is their geometric and topological structure. The other is the action of the dynamics on the attractor. The latter represents the long-term behavior of the system. Both of these are studied using inverse limits. The structure of hyperbolic attractors is quite well understood through the work of Bob Williams. However, non-hyperbolic attractors arise in applications and these are not so well understood. This talk will cover the general history of attractors and then concentrate on the most recent results on non-hyperbolic attractors.
Professor and Chair of Mathematics
University of Florida
in memory of Professor Edwin Duda
will present
Attractors in Dynamics
Friday, September 4, 2009, 5:00pm
Ungar Room 402
Reception immediately following in Ungar Room 521
All interested persons are welcome to attend.
Abstract: Attractors have been an important focus in the study of dynamics. When a dynamical system maps a compact neighborhood into its interior, the limiting behavior in that neighborhood is an attractor. There are two ways that attractors are interesting. One is their geometric and topological structure. The other is the action of the dynamics on the attractor. The latter represents the long-term behavior of the system. Both of these are studied using inverse limits. The structure of hyperbolic attractors is quite well understood through the work of Bob Williams. However, non-hyperbolic attractors arise in applications and these are not so well understood. This talk will cover the general history of attractors and then concentrate on the most recent results on non-hyperbolic attractors.
