Synchronization transition of identical phase oscillators in a directed small-world network

Ralf Tönjes*, Naoki Masuda, Hiroshi Kori

*この研究の対応する著者

研究成果: Article査読

16 被引用数 (Scopus)

抄録

We numerically study a directed small-world network consisting of attractively coupled, identical phase oscillators. While complete synchronization is always stable, it is not always reachable from random initial conditions. Depending on the shortcut density and on the asymmetry of the phase coupling function, there exists a regime of persistent chaotic dynamics. By increasing the density of shortcuts or decreasing the asymmetry of the phase coupling function, we observe a discontinuous transition in the ability of the system to synchronize. Using a control technique, we identify the bifurcation scenario of the order parameter. We also discuss the relation between dynamics and topology and remark on the similarity of the synchronization transition to directed percolation.

本文言語English
論文番号033108
ジャーナルChaos
20
3
DOI
出版ステータスPublished - 2010 7 13
外部発表はい

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学
  • 物理学および天文学(全般)
  • 応用数学

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