Spectral universality of phase synchronization in non-identical oscillator networks

N. Fujiwara, J. Kurths

研究成果: ジャーナルへの寄稿学術論文査読

13 被引用数 (Scopus)

抄録

We employ a spectral decomposition method to analyze synchronization of a non-identical oscillator network. We study the case that a small parameter mismatch of oscillators is characterized by one parameter and phase synchronization is observed. We derive a linearized equation for each eigenmode of the coupling matrix. The parameter mismatch is reflected on inhomogeneous term in the linearized equation. We find that the oscillation of each mode is essentially characterized only by the eigenvalue of the coupling matrix with a suitable normalization. We refer to this property as spectral universality, because it is observed irrespective of network topology. Numerical results in various network topologies show good agreement with those based on linearized equation. This universality is also observed in a system driven by additive independent Gaussian noise.

本文言語英語
ページ(範囲)45-49
ページ数5
ジャーナルEuropean Physical Journal B
69
1
DOI
出版ステータス出版済み - 2009 5月

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