Spectral universality of phase synchronization in non-identical oscillator networks

N. Fujiwara, J. Kurths

Research output: Contribution to journalArticlepeer-review

13 Citations (Scopus)


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.

Original languageEnglish
Pages (from-to)45-49
Number of pages5
JournalEuropean Physical Journal B
Issue number1
Publication statusPublished - 2009 May


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