A Scale-free Network with Boolean Dynamics as a Function of Connectivity

A. Castro e Silva; J. Kamphorst Leal da Silva; J. F. F. Mendes

A Scale-free Network with Boolean Dynamics as a Function of Connectivity

统计力学 2007-05-23 v1 无序系统与神经网络

作者: A. Castro e Silva , J. Kamphorst Leal da Silva , J. F. F. Mendes

摘要

In this work we analyze scale-free networks with different power law spectra $N(k) \sim k^{-\gamma}$ under a boolean dynamic, where the boolean rule that each node obeys is a function of its connectivity $k$ . This is done by using only two logical functions (AND and XOR) which are controlled by a parameter $q$ . Using damage spreading technique we show that the Hamming distance and the number of 1's exhibit power law behavior as a function of $q$ . The exponents appearing in the power laws depend on the value of $\gamma$ .

关键词

power-law distributions

引用

@article{arxiv.cond-mat/0410469,
  title  = {A Scale-free Network with Boolean Dynamics as a Function of Connectivity},
  author = {A. Castro e Silva and J. Kamphorst Leal da Silva and J. F. F. Mendes},
  journal= {arXiv preprint arXiv:cond-mat/0410469},
  year   = {2007}
}

备注

8 pages, 7 Postscript; to appear in Phys. Rev. E

A Scale-free Network with Boolean Dynamics as a Function of Connectivity

摘要

关键词

引用

备注

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