Synchronization of coupled oscillators on small-world networks

Fumito Mori, Takashi Odagaki

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

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
Volume238
Issue number14
DOIs
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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