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Title: General scaling of maximum degree of synchronization in noisy complex networks
Authors: Traxl, D.Boers, N.Kurths, J.
Publishers Version: https://doi.org/10.1088/1367-2630/16/11/115009
Issue Date: 2014
Published in: New Journal of Physics Vol. 16 (2014)
Publisher: Bristol : Institute of Physics Publishing
Abstract: The effects of white noise and global coupling strength on the maximum degree of synchronization in complex networks are explored. We perform numerical simulations of generic oscillator models with both linear and non-linear coupling functions on a broad spectrum of network topologies. The oscillator models include the Fitzhugh-Nagumo model, the Izhikevich model and the Kuramoto phase oscillator model. The network topologies range from regular, random and highly modular networks to scale-free and small-world networks, with both directed and undirected edges. We then study the dependency of the maximum degree of synchronization on the global coupling strength and the noise intensity. We find a general scaling of the synchronizability, and quantify its validity by fitting a regression model to the numerical data.
Keywords: complex networks; Gaussian uncorrelated noise; global coupling strength; non-linear dynamics; numerical simulation; regression model; synchronizability; Complex networks; Electric network topology; Mathematical models; Numerical models; Oscillators (mechanical); Regression analysis; Synchronization; Topology; White noise; Global coupling; Non-linear dynamics; Regression model; Synchronizability; Uncorrelated noise; Computer simulation
DDC: 530
License: CC BY 3.0 Unported
Link to License: https://creativecommons.org/licenses/by/3.0/
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