We study the frequency synchronization of a randomly coupled oscillators. By analyzing the continuum limit, we obtain a sufficient condition for the mean-field-type synchronization. We especially find that the critical coupling constant K becomes 0 in the random scale-free network, P(k) proportional, variant k(-gamma), if 2<gamma</=3. Numerical simulations in finite networks are consistent with this analysis.
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Takashi Ichinomiya (2004) studied this question.
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