Scaling of noisy fluctuations in complex networks and applications to network prediction

Wen-Xu Wang, Qingfei Chen, Liang Huang, Ying-Cheng Lai, Mary Ann F. Harrison

Research output: Contribution to journalArticle

38 Citations (Scopus)

Abstract

We study the collective dynamics of oscillator-network systems in the presence of noise. By focusing on the time-averaged fluctuation of dynamical variable of interest about the mean field, we discover a scaling law relating the average fluctuation to the node degree. The scaling law is quite robust as it holds for a variety of network topologies and node dynamics. Analyses and numerical support for different types of networks and node dynamics are provided. We also point out an immediate application of the scaling law: predicting complex networks based on time series only, and we articulate how this can be done.

Original languageEnglish
Article number016116
Number of pages6
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume80
Issue number1
DOIs
Publication statusPublished - Jul 2009

Keywords

  • stochastic resonance
  • coherence resonance
  • synchronization
  • systems
  • oscillators
  • community
  • dynamics
  • chaos

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