64 citations · 235 across the 17 of their papers we have counts for
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math.DS2013
Synchrony and Periodicity in an Excitable Stochastic Neural Network with Multiple Subpopulations
Lee DeVille, Yi Zeng
We consider a fully stochastic excitatory neuronal network with a number of subpopulations with different firing rates. We show that as network size goes to infinity, this limits o…
math.DS2013
Modular dynamical systems on networks
Lee DeVille, Eugene Lerman
We propose a new framework for the study of continuous time dynamical systems on networks. We view such dynamical systems as collections of interacting control systems. We show tha…
math.SP2013★ 1 cited
Spectral Theory for Networks with Attractive and Repulsive Interactions
Jared C. Bronski, Lee DeVille
There is a wealth of applied problems that can be posed as a dynamical system defined on a network with both attractive and repulsive interactions. Some examples include: understan…