Synchronization of coupled oscillators on small-world networks

Fumito Mori, Takashi Odagaki

    Research output: Contribution to journalArticlepeer-review

    9 Citations (Scopus)


    We investigate the synchronous dynamics of Kuramoto oscillators and van der Pol oscillators on Watts-Strogatz type small-world networks. The order parameters to characterize macroscopic synchronization are calculated by numerical integration. We focus on the difference between frequency synchronization and phase synchronization. In both oscillator systems, the critical coupling strength of the phase order is larger than that of the frequency order for the small-world networks. The critical coupling strength for the phase and frequency synchronization diverges as the network structure approaches the regular one. For the Kuramoto oscillators, the behavior can be described by a power-law function and the exponents are obtained for the two synchronizations. The separation of the critical point between the phase and frequency synchronizations is found only for small-world networks in the theoretical models studied.

    Original languageEnglish
    Pages (from-to)1180-1185
    Number of pages6
    JournalPhysica D: Nonlinear Phenomena
    Issue number14
    Publication statusPublished - Jul 1 2009

    All Science Journal Classification (ASJC) codes

    • Statistical and Nonlinear Physics
    • Mathematical Physics
    • Condensed Matter Physics
    • Applied Mathematics


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