Communications technology continues to develop

scale is more and more larger

functions are more complex

control and description on complex systems is becoming more and more difficult.The characteristics of mutation of communication network is researched by catastrophe theory

catastrophe model is built to analyze law of systemic state

through cusp catastrophe theory to build model for vulnerability analysis

and impact of physical and structural vulnerability on whole communication network are pointed out.Experimental results show that the given model analysis method can accurately detect vulnerability of system and have good real-time.