### Global Stability of Dynamical Networks

- Series
- SIAM Student Seminar
- Time
- Friday, November 5, 2010 - 13:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 255
- Speaker
- Ben Webb – School of Mathematics, Georgia Tech

In this talk we consider the collective dynamics of a network of
interacting dynamical systems and show that under certain conditions such dynamical
networks have a unique global attractor. This involves a combination of techniques
from dynamical systems theory as well as newly devised methods in graph theory.
However, this talk is intended to be an introduction to both areas of mathematics
with a focus on how the combination of the two is yielding new results in graph and
dynamical systems theory.