122 citations · 498 across the 15 of their papers we have counts for
15 papers
Self-Sustaining Oscillations in Complex Networks of Excitable Elements
Patrick McGraw, Michael Menzinger
Random networks of symmetrically coupled, excitable elements can self-organize into coherently oscillating states if the networks contain loops (indeed loops are abundant in random…
Laplacian Spectra as a Diagnostic Tool for Network Structure and Dynamics
Patrick N. McGraw, Michael Menzinger
We examine numerically the three-way relationships among structure, Laplacian spectra and frequency synchronization dynamics on complex networks. We study the effects of clustering…
Analysis of Nonlinear Synchronization Dynamics of Oscillator Networks by Laplacian Spectral Methods
Patrick McGraw, Michael Menzinger
We analyze the synchronization dynamics of phase oscillators far from the synchronization manifold, including the onset of synchronization on scale-free networks with low and high…
Flow distributed oscillation, flow velocity modulation and resonance
Patrick N. McGraw, Michael Menzinger
We examine the effects of a periodically varying flow velocity on the standing and travelling wave patterns formed by the flow-distributed oscillation (FDO) mechanism. In the kinem…
Clustering and Synchronization of Oscillator Networks
Patrick N. McGraw, Michael Menzinger
Using a recently described technique for manipulating the clustering coefficient of a network without changing its degree distribution, we examine the effect of clustering on the s…
Pattern Formation by Boundary Forcing in Convectively Unstable, Oscillatory Media With and Without Differential Transport
Patrick N. McGraw, Michael Menzinger
Motivated by recent experiments and models of biological segmentation, we analyze the exicitation of pattern-forming instabilities of convectively unstable reaction-diffusion-advec…