Resilience of the interdependent network against cascade failure

Complex systems ranging from technological and social systems are consist of fully or partially interdependent subsystems. The majority of catastrophic events occurred in these system always are triggered by minor events and in turn caused by cascading failure. Understanding the universality class of the resilience in interdependent networks during the process of cascading failure is therefore an essential problem. Here, we study the cascading failure in the interdependent network, and nodes would fail due to the dependency mechanism or the overload mechanism. A resilience evaluation model to predict the performance of the interdependent network against cascading failure is proposed. The model allows us to accurately monitor the activity of each node in the cascading process. The results show resilience characteristics would be enriched when the dynamics is introduced in the single layer. Specifically, for E−E and R−R, there is a weak positive correlation between the heterogeneity and resilience, but it shows a weak negative correlation for BD−BD.