Frequency synchronization in random oscillator network

Details Frequency synchronization in random oscillator network Frequency synchronization in random oscillator network

2004-06-24

arxiv.org/abs/cond-mat/0406580v1

Phys. Rev. E 70, 026116 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

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

Scientific paper

10.1103/PhysRevE.70.026116

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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