The Effect of the Coupling Relationship of the Interdependent Networks on Their Robustness

Key words: 
• interdependent netw ork，coupling relationship，robustness，percolation threshold /
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Abstract: We study the robustness of interdependent networks by constructing a model with a controllable parameter α.In this model ,we change the similarity of degree between mutually dependent nodes by con‐trolling the parameter α.In the research of coupled scale‐free networks systems we find that percolation threshold pc decreases with decreasing α,and that there is a thresholdαc .The giant component approaches zero c.ontinuously if α αc .However ,in a study of two coupled random net‐works systems ,we find that compared with coupled scale‐free networks ,parameter αhas little influence on percolation threshold .