Frequency synchronization in a random oscillator network

Abstract

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.