Effects of noise on synchronization phenomena exhibited by mean-field coupled limit cycle oscillators with two natural frequencies

Keiji Okumura, Akihisa Ichiki, Masatoshi Shiino

研究成果: Article査読

3 被引用数 (Scopus)

抄録

Relationships between inter-cluster synchronization phenomena and external noise are studied on the basis of noise level-free analysis. We consider a mean-field model of ensembles of coupled limit cycle oscillators with two natural frequencies, which are subjected to external white Gaussian noise. Using a nonlinear FokkerPlanck equation approach, we analytically derive the order parameter equations associated with nonequilibrium phase transitions in the thermodynamic limit. Solving them numerically, we systematically investigate the model parameter dependences of the appearance and disappearance of synchronization phenomena. Demonstrating bifurcations from chaotic attractors in the deterministic limit to limit cycle attractors with increasing noise intensity, we confirm the occurrence of nonequilibrium phase transitions including inter-cluster synchronization induced by external white Gaussian noise.

本文言語English
ページ(範囲)794-797
ページ数4
ジャーナルPhysica E: Low-Dimensional Systems and Nanostructures
43
3
DOI
出版ステータスPublished - 2011 1
外部発表はい

ASJC Scopus subject areas

  • 凝縮系物理学
  • 原子分子物理学および光学
  • 電子材料、光学材料、および磁性材料

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