Finite-size scaling of synchronized oscillation on complex networks

Hyunsuk Hong*, Hyunggyu Park, Lei Han TANG

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

28 Citations (Scopus)

Abstract

The onset of synchronization in a system of random frequency oscillators coupled through a random network is investigated. Using a mean-field approximation, we characterize sample-to-sample fluctuations for networks of finite size, and derive the corresponding scaling properties in the critical region. For scale-free networks with the degree distribution P (k) ∼ k-γ at large k, we found that the finite-size exponent ν̄ takes on the value 5/2 when γ>5, the same as in the globally coupled Kuramoto model. For highly heterogeneous networks (3<γ<5), ν̄ and the order parameter exponent β depend on γ. The analytical expressions for these exponents obtained from the mean-field theory are shown to be in excellent agreement with data from extensive numerical simulations.

Original languageEnglish
Article number066104
JournalPhysical Review E
Volume76
Issue number6
DOIs
Publication statusPublished - 14 Dec 2007

Scopus Subject Areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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