中文

Frequency synchronization in random oscillator network

无序系统与神经网络 2016-08-31 v1 适应与自组织系统

摘要

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 KK becomes 0 in the random scale free network, P(k)kγP(k)\propto k^{-\gamma}, if 2<γ32 < \gamma \le 3. Numerical simulations in finite networks are consistent with these analysis.

关键词

引用

@article{arxiv.cond-mat/0406580,
  title  = {Frequency synchronization in random oscillator network},
  author = {Takashi Ichinomiya},
  journal= {arXiv preprint arXiv:cond-mat/0406580},
  year   = {2016}
}

备注

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