- Series
- Research Horizons Seminar
- Time
- Wednesday, November 4, 2009 - 12:00pm for 1 hour (actually 50 minutes)
- Location
- Skiles 171
- Speaker
- Leonid Bunimovich – School of Mathematics, Georgia Tech – bunimovh@math.gatech.edu
- Organizer
- Craig Sloane
Dynamical systems theory is concerned with systems that change in time
(where time can be any semigroup). However, it is quite rare that one
can find the solutions for such systems or even a "sizable" subset of
such solutions. An approach motivated by this fact, that goes back to
Poincaré, is to study instead partitions of the (phase) space M of all
states of a dynamical system and consider the evolution of the elements
of this partition (instead of the evolution of points of M).
I'll explain how the objects in the title appear, some relations between
them, and formulate a few general as well as more specific open problems
suitable for a PhD thesis in dynamical systems, mathematical biology,
graph theory and applied and computational mathematics.
This talk will also serve to motivate and introduce to the topics to be
given in tomorrow's colloquium.