相互依赖无标度网络上目标化诱导的三相点
Triple point induced by targeted autonomization on interdependent scale free networks
摘要：
许多人造网络相互支持，为客户提供有效的服务和资源，尽管这种支持在各个网络之间产生了很强的相互依赖性。因此，一个网络中的一部分节点的初始故障$1-p$使系统暴露于故障级联，并且因此使整个系统完全崩溃。因此，重要的是要制定有效的策略，以避免崩溃，通过增加对故障的各个网络的鲁棒性。在这里，我们提供了一个精确的理论方法来研究相互依赖的网络上的故障级联的演变时，一小部分$α$的节点，在每个单独的网络具有较高的连接是自主的。有了这种模式的相互依赖性，我们发现，对异构网络，两个临界渗流阈值，依赖于$α$，分离三个制度与非常不同的网络的最终大小，收敛到一个三相点在平面$p-α$。我们的研究结果表明，由高度节点代表的网络的异质性是在本研究和其他研究中发现的丰富相图的原因。
英文摘要：
Many man-made networks support each other to provide efficient services and resources to the customers, despite that this support produces a strong interdependency between the individual networks. Thus an initial failure of a fraction $1-p$ of nodes in one network, exposes the system to cascade of failures and, as a consequence, to a full collapse of the overall system. Therefore it is important to develop efficient strategies to avoid the collapse by increasing the robustness of the individual networks against failures. Here, we provide an exact theoretical approach to study the evolution of the cascade of failures on interdependent networks when a fraction $α$ of the nodes with higher connectivity in each individual network are autonomous. With this pattern of interdependency we found, for pair of heterogeneous networks, two critical percolation thresholds that depend on $α$, separating three regimes with very different network's final sizes that converge into a triple point in the plane $p-α$. Our findings suggest that the heterogeneity of the networks represented by high degree nodes is the responsible of the rich phase diagrams found in this and other investigations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
