Synchronization in networks of mobile oscillators
Synchronization in networks of mobile oscillators
复制标题
DOI：
10.1103/physreve.83.025101
复制
发表时间：
2011-02-07
影响因子：
2.4
通讯作者：
Diaz-Guilera, Albert
中科院分区：
文献类型：
--
作者：
Fujiwara, Naoya;Kurths, Juergen;Diaz-Guilera, Albert
我们提出了一个模型，在网络中的自治代理的拓扑结构的变化，由于代理运动的同步。我们引入两个时标，一个用于拓扑变化，另一个用于局部同步。如果前一个尺度要短得多，则可以使用一个近似值来平均运动的影响。然而，在这里，我们表明，同步实现所需的时间是大于预测的近似在相反的情况下，特别是接近连续渗流过渡点。仿真结果证实了通过谱分析的时间相关的拉普拉斯矩阵。我们的研究结果表明，这两个时间尺度之间的权衡，这对同步有相反的影响，应该考虑到移动终端网络的设计。
We present a model of synchronization in networks of autonomous agents where the topology changes due to agents motion. We introduce two timescales, one for the topological change and another one for local synchronization. If the former scale is much shorter, an approximation that averages out the effect of motion is available. Here we show, however, that the time required for synchronization achievement is larger than the prediction of the approximation in the opposite case, especially close to the continuum percolation transition point. The simulation results are confirmed by means of spectral analysis of the time-dependent Laplacian matrix. Our results show that the tradeoff between these two timescales, which have opposite effects on synchronization, should be taken into account for the design of mobile device networks.