具有相互对抗和依赖作用的网络的渗流
Percolation on Networks with Antagonistic and Dependent Interactions
摘要：
从现实世界中的相互作用系统的灵感，我们研究了一个系统，由两个网络表现出对立和依赖的相互作用。所谓对抗性和依赖性相互作用，我们的意思是，网络中的一部分功能节点会导致另一个节点的故障，而另一个节点的故障会导致第一个节点的链路故障。相对于相互依赖的网络，它可以表现出一阶相变，我们发现，在这样的网络中的相变是连续的。我们的分析表明，与孤立网络相比，该系统对随机攻击具有更强的鲁棒性。令人惊讶的是，我们观察到参数空间中的一个区域，两个网络的巨连通分量开始振荡。此外，我们发现，对于Erdos-Renyi和无标度网络的系统振荡只有当两个网络之间的依赖和对抗是非常高的。我们相信，这项研究可以加深我们对现实世界中相互作用系统的理解。
英文摘要：
Drawing inspiration from real world interacting systems we study a system consisting of two networks that exhibit antagonistic and dependent interactions. By antagonistic and dependent interactions, we mean, that a proportion of functional nodes in a network cause failure of nodes in the other, while failure of nodes in the other results in failure of links in the first. As opposed to interdependent networks, which can exhibit first order phase transitions, we find that the phase transitions in such networks are continuous. Our analysis shows that, compared to an isolated network, the system is more robust against random attacks. Surprisingly, we observe a region in the parameter space where the giant connected components of both networks start oscillating. Furthermore, we find that for Erdos-Renyi and scale free networks the system oscillates only when the dependency and antagonism between the two networks is very high. We believe that this study can further our understanding of real world interacting systems.
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