Stochastic dynamics on networks and emergence of collective behaviors

Friday, October 26, 2012 - 10:15am - 11:05am
Keller 3-180
Lee DeVille (University of Illinois at Urbana-Champaign)
Dynamical systems defined on networks have applications
in many fields, including computational and theoretical neuroscience. In
particular, it is important to understand when networks exhibit synchronous or
other types of coherent collective behaviors. Other questions include whether
such coherent behavior is stable with respect to random perturbation, or what
the detailed structure of this behavior is as it evolves. We will examine several
models of networked dynamical systems and present a mixture of results that range
from rigorous theorems for abstract models to quantitative comparisons of models
and data.
MSC Code: