相互作用网络耦合关系对其鲁棒性的影响
The Effect of the Coupling Relationship of the Interdependent Networks on Their Robustness
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摘要: 通过构造带有调控参数α的耦合网络模型，改变两个网络耦合顶点之间的度匹配性，研究了两个相互作用耦合网络在耦合关系变化、节点随机失效情况下的级联失效行为及其鲁棒性。在对两个耦合无标度网络的研究中发现：随着α的减小，渗流阈值 pc也逐渐减小，鲁棒性随之增强；存在临界值αc ，当α＜αc时，网络渗流呈现二阶相变，而当α＞αc时，呈现一阶相变。然而，在对两个耦合随机网络的研究中发现，参数α对渗流阈值的影响相对较小。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 .
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