Stochastic phenomena of synchronization in ensembles of mean-field coupled limit cycle oscillators with two native frequencies

Keiji Okumura, A. Ichiki, M. Shiino

研究成果: Article

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We study effects of independent white noise on synchronization phenomena in ensembles of coupled limit cycle oscillators with different native frequencies. We consider a simple model where the ensemble consists of two inter-connected clusters with own native frequencies and mean-field couplings are introduced between intra- and inter-clusters. Taking advantage of the nonlinear mean-field coupling concept together with the law of large numbers valid in the thermodynamic limit, we employ a nonlinear Fokker-Planck equation approach that turns out to be a noise level-free analysis, to analytically derive the time evolution of the order parameters. Showing the occurrence of bifurcations from chaotic attractors in the deterministic limit to limit cycle ones with increasing noise intensity, we confirm the occurrence of nonequilibrium phase transitions including inter-cluster synchronization induced by external noise.

元の言語English
記事番号50009
ジャーナルEurophysics Letters
92
発行部数5
DOI
出版物ステータスPublished - 2010 12
外部発表Yes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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