On complex networks,large-scale cascading failures that are triggered by some small disturbances can lead to disastrous consequences.In order to satisfy demand of the people on the security and reliability of complex networks related to the national economy and people’s livelihood,the study on cascading failures on complex networks becomes a hot branch of complex networks research in recent years.The theoretical modeling is the basic and key problem for analysis,prevention and control of cascading failures.Main developments of cascading failur...