Title
The effect of node-degree correlation on synchronization of identical pulse-coupled oscillators
Document Type
Article
Publication Date
4-12-2010
Abstract
We explore the effect of correlations between the in and out degrees of random directed networks on the synchronization of identical pulse-coupled oscillators. Numerical experiments demonstrate that the proportion of initial conditions resulting in a globally synchronous state (prior to a large but finite time) is an increasing function of node-degree correlation. For those networks observed to globally synchronize, both the mean and standard deviation of time to synchronization are decreasing functions of node-degree correlation. Pulse-coupled oscillator networks with negatively correlated node degree often exhibit multiple coherent attracting states, with trajectories performing fast transitions between them. These effects of node-degree correlation on dynamics of pulse-coupled oscillators are consistent with aspects of network topology (e.g., the effect of node-degree correlation on the eigenvalues of the Laplacian matrix) that have been shown to affect synchronization in other contexts.
Journal Title
Physical Review E
DOI
10.1103/PhysRevE.81.046206
Volume
81
Issue
4
Recommended Citation
LaMar, M Drew and Smith, Gregory D., The effect of node-degree correlation on synchronization of identical pulse-coupled oscillators (2010). Physical Review E, 81(4).
10.1103/PhysRevE.81.046206