General scaling of maximum degree of synchronization in noisy complex networks

Dominik Traxl, Niklas Boers, Jurgen Kurths

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6 Citations (Scopus)
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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.
Original languageEnglish
Article number115009
JournalNew Journal of Physics
Volume16
DOIs
Publication statusPublished - 7 Nov 2014

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synchronism
scaling
oscillators
topology
noise intensity
white noise
regression analysis
simulation

Keywords

  • complex networks
  • non-linear dynamics
  • Gaussian uncorrelated noise
  • global coupling strength
  • synchronizability
  • numerical simulation
  • regression model

Cite this

General scaling of maximum degree of synchronization in noisy complex networks. / Traxl, Dominik; Boers, Niklas; Kurths, Jurgen.

In: New Journal of Physics, Vol. 16, 115009 , 07.11.2014.

Research output: Contribution to journalArticle

Traxl, Dominik ; Boers, Niklas ; Kurths, Jurgen. / General scaling of maximum degree of synchronization in noisy complex networks. In: New Journal of Physics. 2014 ; Vol. 16.
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