Global Stability of Dynamical Networks

SIAM Student Seminar
Friday, November 5, 2010 - 1:00pm for 1 hour (actually 50 minutes)
Skiles 255
Ben Webb – School of Mathematics, Georgia Tech
Benjamin Webb
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.