Frequency synchronization in random oscillator network
Takashi Ichinomiya
Abstract
We study the frequency-synchronization of randomly coupled oscillators. By analyzing the continuum limit, we obtain the 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) k-γ, if 2 < γ 3. Numerical simulations in finite networks are consistent with these analysis.
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