62 citations · 120 across the 3 of their papers we have counts for
3 papers
q-bio.NC2009★ 1 cited
Systematic fluctuation expansion for neural network activity equations
Michael A. Buice, Jack D. Cowan, Carson C. Chow
Population rate or activity equations are the foundation of a common approach to modeling for neural networks. These equations provide mean field dynamics for the firing rate or ac…
nlin.AO2007★ 62 cited
Correlations, fluctuations and stability of a finite-size network of coupled oscillators
Michael A. Buice, Carson C. Chow
The incoherent state of the Kuramoto model of coupled oscillators exhibits marginal modes in mean field theory. We demonstrate that corrections due to finite size effects render th…
nlin.CD2006★ 57 cited
A Kinetic Theory of Coupled Oscillators
Eric J. Hildebrand, Michael A. Buice, Carson C. Chow
We present an approach for the description of fluctuations that are due to finite system size induced correlations in the Kuramoto model of coupled oscillators. We construct a hier…