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Frequency synchronization in random oscillator network

Takashi Ichinomiya
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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.

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Takashi Ichinomiya. 2004-06-24. Frequency synchronization in random oscillator network. https://doi.org/10.1103/physreve.70.026116

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