Abstract: In the process of research on complex networks,we divided its network structure into three types according to the node connection tendency,including disassortative network,assortative network and the neutral network.We adopt variable gradient analysis to judge and analyze it’s stability respectively.Theoretical analysis shows that disassortative network is stable within a wide range,the assortative network’s state is unstable,and the stability of the neutral network is uncertain.We can determine whether the network is in a steady state based on the tendency of node connection.Meanwhile,in the research on complex network robustness, related simulation results show the stability and robustness have positive correlation,and the robustness of the disassortative network is best and the secondary is neutral network,followed by the fragile robustness of assortative network.

Key words: Disassortative network,Assortative network,Neutral network,Stability,Robustness