Network resilience

Many systems on our planet are known to shift abruptly and irreversibly from one state another when they forced across a "tipping point," such as mass extinctions in ecological networks, cascading failures infrastructure systems, social convention changes human animal networks. Such regime demonstrates system's resilience that characterizes the ability of system adjust its activity retain basic functionality face internal disturbances or external environmental changes. In past 50 years, attention was almost exclusively given low dimensional calibration their functions indicators early warning signals without considerations for interactions between components. Only recent taking advantages network theory lavish real data sets, scientists have directed interest real-world complex networked multidimensional function indicators. This report is devoted comprehensive review different domains, ecology, biology, infrastructure. We cover related research about empirical observations, experimental studies, mathematical modeling, theoretical analysis. also discuss some ambiguous definitions, robustness, resilience, stability.