General scaling of maximum degree of synchronization in noisy complex networks

Dominik Traxl, Niklas Boers, Jürgen Kurths

Research output: Contribution to journalArticlepeer-review

11 Scopus citations


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
StatePublished - 7 Nov 2014
Externally publishedYes


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


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