System of phase oscillators with diagonalizable interaction

Takashi Nishikawa*, Frank C. Hoppensteadt

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


A system of phase oscillators having distributed natural frequencies and diagonalizable interaction among the oscillators, was studied. The system was found to be almost incoherent in the limit of large system size. There was no sharp transition from incoherence to coherence as the coupling strength was increased.

Original languageEnglish (US)
Pages (from-to)1615-1626
Number of pages12
JournalSIAM Journal on Applied Mathematics
Issue number5
StatePublished - Jun 2003


  • Kuramoto model
  • Network of phase oscillators

ASJC Scopus subject areas

  • Applied Mathematics


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