Robustness of optimal synchronization in real networks.

@article{Ravoori2011RobustnessOO,
  title={Robustness of optimal synchronization in real networks.},
  author={Bhargava Ravoori and Adam B. Cohen and Jie Sun and Adilson E. Motter and Thomas E. Murphy and Rajarshi Roy},
  journal={Physical review letters},
  year={2011},
  volume={107 3},
  pages={
          034102
        }
}
Experimental studies can provide powerful insights into the physics of complex networks. Here, we report experimental results on the influence of connection topology on synchronization in fiber-optic networks of chaotic optoelectronic oscillators. We find that the recently predicted nonmonotonic, cusplike synchronization landscape manifests itself in the rate of convergence to the synchronous state. We also observe that networks with the same number of nodes, same number of links, and identical… 

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References

SHOWING 1-10 OF 23 REFERENCES
Nature
  • R. Rosenfeld
  • Medicine
    Otolaryngology--head and neck surgery : official journal of American Academy of Otolaryngology-Head and Neck Surgery
  • 2009
疟原虫var基因转换速率变化导致抗原变异[英]/Paul H, Robert P, Christodoulou Z, et al//Proc Natl Acad Sci U S A
抗原变异可使得多种致病微生物易于逃避宿主免疫应答。表达在感染红细胞表面的恶性疟原虫红细胞表面蛋白1(PfPMP1)与感染红细胞、内皮细胞、树突状细胞以及胎盘的单个或多个受体作用,在黏附及免疫逃避中起关键的作用。每个单倍体基因组var基因家族编码约60种成员,通过启动转录不同的var基因变异体为抗原变异提供了分子基础。
Proc
  • Natl. Acad. Sci. USA 107, 10342
  • 2010
Phys
  • Rev. E 73, 065106 (2006); Physica D (Amsterdam) 224, 77
  • 2006
Phys
  • Rev. Lett. 80, 2109
  • 1998
Phil. Trans. R. Soc. A
  • Phil. Trans. R. Soc. A
  • 2010
EPL 85
  • 60011
  • 2009
Europhys
  • Lett. 85, 60 011
  • 2009
Europhys. Lett
  • Europhys. Lett
  • 2009
Phys. Rev. E
  • Phys. Rev. E
  • 2009
...
1
2
3
...