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Effect of Node-Degree Correlation on Synchronization of Identical Pulse-Coupled Oscillators
LaMar, M. Drew Smith, Gregory D.
LaMar, M. Drew
Smith, Gregory D.
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.
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2010-04-01
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Applied Science
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https://doi.org/10.1103/PhysRevE.81.046206