Onset of synchronization in complex gradient networks

Xingang Wang, Liang Huang, Shuguang Guan, Ying-Cheng Lai, Choy Heng Lai

Research output: Contribution to journalArticlepeer-review

10 Scopus citations


Recently, it has been found that the synchronizability of a scale-free network can be enhanced by introducing some proper gradient in the coupling. This result has been obtained by using eigenvalue-spectrum analysis under the assumption of identical node dynamics. Here we obtain an analytic formula for the onset of synchronization by incorporating the Kuramoto model on gradient scale-free networks. Our result provides quantitative support for the enhancement of synchronization in such networks, further justifying their ubiquity in natural and in technological systems.

Original languageEnglish (US)
Article number037117
Issue number3
StatePublished - 2008

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


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