论文标题
通过控制一小部分节点来维持网络
Sustaining a network by controlling a fraction of nodes
论文作者
论文摘要
多稳定性是在实际复杂网络系统中广泛观察到的现象，例如技术基础设施，生态系统，基因调节，运输等。当系统正常功能，但也存在一个潜在的状态，尽管该系统处于平衡状态，但由于外部干扰和扰动，该系统可能会过渡到低活动状态。因此，由于陷入潜在的不活动状态的危险，这种系统可以被认为是不可持续的。在这里，我们通过分析和模拟进行探索，如何支持分数$ρ$节点的活动可以通过消除不活跃的潜在稳定状态来转换一个不可持续的系统，从而可持续。因此，我们在有一小部分受控节点$ρ$的情况下推出了新的可持续性阶段图。该相图可以通过外部干预和/或加强网络的连接来提供指南来维持网络。
Multi-stability is a widely observed phenomenon in real complex networked systems, such as technological infrastructures, ecological systems, gene regulation, transportation and more. When a system functions normally but there exists also a potential state with abnormal low activity, although the system is at equilibrium it might make a transition into the low activity undesired state due to external disturbances and perturbations. Thus, such a system can be regarded as unsustainable, due to the danger of falling into the potential inactive state. Here we explore, analytically and by simulations, how supporting the activity of a fraction $ρ$ of nodes can turn an unsustainable system to be sustainable by eliminating the inactive potential stable state. We thus unveil a new sustainability phase diagram in the presence of a fraction of controlled nodes $ρ$. This phase diagram could provide guidelines to sustain a network by external intervention and/or by strengthening the connectivity of the network.
