With the development of society and the progress of science and technology, the process of urban infrastructure construction is accelerating, various infrastructure networks are constantly improving, and the links between different infrastructure networks are getting closer. Compared with a singlenetwork, this kind of interdependent network is more complex, and the research results of the existing single network are difficult to explain the nature and phenomenon of this kind of network. This article mainly introduces the research on the robustness and recovery mechanism of interdependent networks. From the perspective of a complex network, this paper combines the interdependence between the networks in the actual system and the node load and builds an interdependent network model. On the basis of the load capacity model, an interdependent network error model is established. And through matlab simulation experiments, the fault propagation characteristics of dependent networks under three conditions and the reliability attack methods of dependent networks are studied. The experimental results in this article show that dependent networks show exceptional vulnerability under deliberate attack functions, while dependent networks show good robustness under random attack modes. In addition, increasing the network node tolerance coefficient can improve the robustness of the interdependent network. When the tolerance is increased from 1 to 10, the robustness of the dependent network is increased by 18%.

中文翻译：

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依赖网络相互作用下的鲁棒性和恢复机制

随着社会的发展和科技的进步，城市基础设施建设的进程不断加快，各种基础设施网络不断完善，不同基础设施网络之间的联系越来越紧密。与单一网络相比，这种相互依存的网络更加复杂，现有单一网络的研究成果难以解释这种网络的本质和现象。本文主要介绍了相互依赖网络的鲁棒性和恢复机制的研究。本文从复杂网络的角度，结合实际系统中网络之间的相互依赖和节点负载，构建了相互依赖的网络模型。在承载能力模型的基础上，建立了相互依赖的网络误差模型。并通过matlab仿真实验，研究了三种情况下依赖网络的故障传播特性和依赖网络的可靠性攻击方法。本文的实验结果表明，依赖网络在蓄意攻击功能下表现出异常的脆弱性，而依赖网络在随机攻击模式下表现出良好的鲁棒性。此外，增加网络节点容忍系数可以提高相互依赖网络的鲁棒性。当容差从 1 增加到 10 时，依赖网络的鲁棒性增加了 18%。研究了三种情况下依赖网络的故障传播特性和依赖网络的可靠性攻击方法。本文的实验结果表明，依赖网络在蓄意攻击功能下表现出异常的脆弱性，而依赖网络在随机攻击模式下表现出良好的鲁棒性。此外，增加网络节点容忍系数可以提高相互依赖网络的鲁棒性。当容差从 1 增加到 10 时，依赖网络的鲁棒性增加了 18%。研究了三种情况下依赖网络的故障传播特性和依赖网络的可靠性攻击方法。本文的实验结果表明，依赖网络在蓄意攻击功能下表现出异常的脆弱性，而依赖网络在随机攻击模式下表现出良好的鲁棒性。此外，增加网络节点容忍系数可以提高相互依赖网络的鲁棒性。当容差从 1 增加到 10 时，依赖网络的鲁棒性增加了 18%。此外，增加网络节点容忍系数可以提高相互依赖网络的鲁棒性。当容差从 1 增加到 10 时，依赖网络的鲁棒性增加了 18%。此外，增加网络节点容忍系数可以提高相互依赖网络的鲁棒性。当容差从 1 增加到 10 时，依赖网络的鲁棒性增加了 18%。