Cascading failure and recovery of spatially interdependent networks

Many real networks, such as infrastructure networks, are interdependent and their structure is influenced by spatial constraints. However, the existence of spatial constraints and dependency links makes the system more vulnerable to an initial random failure. In this paper, we model the interdependent network with the strength of embedding length ζ. We propose an effective recovery strategy which recovers the boundary of the failed nodes during the cascading of failures with probability γ. We find that without changing the transition type, both the range and the duration of the cascading failure can be decreased by increasing γ. Our model could be used to improve the robustness of real-world network systems.