Noise in coevolving networks
Noise in coevolving networks
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DOI：
10.1103/physreve.92.032803
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发表时间：
2015-09-08
影响因子：
2.4
通讯作者：
San Miguel, Maxi
中科院分区：
文献类型：
--
作者：
Diakonova, Marina;Eguiluz, Victor M.;San Miguel, Maxi
将网络节点的状态的动力学耦合到网络拓扑的动力学导致一般的吸收和碎裂转变。共同进化的选民模型是一个典型的系统，表现出这样的过渡在一些关键的重新布线。我们研究了两种不同的方式引入噪声下，这些过渡的鲁棒性。影响所有节点的噪声破坏了吸收-碎裂转变，在有限大小的系统中产生两种制度：双峰磁化和动态碎裂。针对一小部分节点的噪声保留了过渡，但引入了具有孤立节点和一个或两个巨型组件的特征部分的破碎碎片。均质噪声的吸收状态的缺乏和目标噪声的吸收过渡到更高的重新布线的移位都得到了分析近似的支持。
Coupling dynamics of the states of the nodes of a network to the dynamics of the network topology leads to generic absorbing and fragmentation transitions. The coevolving voter model is a typical system that exhibits such transitions at some critical rewiring. We study the robustness of these transitions under two distinct ways of introducing noise. Noise affecting all the nodes destroys the absorbing-fragmentation transition, giving rise in finite-size systems to two regimes: bimodal magnetization and dynamic fragmentation. Noise targeting a fraction of nodes preserves the transitions but introduces shattered fragmentation with its characteristic fraction of isolated nodes and one or two giant components. Both the lack of absorbing state for homogeneous noise and the shift in the absorbing transition to higher rewiring for targeted noise are supported by analytical approximations.