Low-dimensional behavior of Kuramoto model with inertia in complex networks

Peng Ji*, Thomas K. D. M. Peron, Francisco A. Rodrigues, Juergen Kurths

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

21 Citations (Scopus)
5 Downloads (Pure)


Low-dimensional behavior of large systems of globally coupled oscillators has been intensively investigated since the introduction of the Ott-Antonsen ansatz. In this report, we generalize the Ott-Antonsen ansatz to second-order Kuramoto models in complex networks. With an additional inertia term, we find a low-dimensional behavior similar to the first-order Kuramoto model, derive a self-consistent equation and seek the time-dependent derivation of the order parameter. Numerical simulations are also conducted to verify our analytical results.

Original languageEnglish
Article number4783
Number of pages6
JournalScientific Reports
Publication statusPublished - 2 May 2014


  • coupled oscillators
  • synchronization
  • complex networks
  • nonlinear phenomena


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