Frequency synchronization in random oscillator network

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, $P(k)\propto k^{-\gamma }$, if $2<\gamma \le 3$. Numerical simulations in finite networks are consistent with these analysis.

11pages, to be published in Phys. Rev. E

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