不同增长机制下航空网络自愈特性

结合复杂网络理论，从能量的角度分析了航空网络的功能自愈机理，并研究了航空网络在不同增长机制下的自愈特性。首先，将网络结构划分为自愈结构与耦合结构，并针对航空网络3种增长机制进行了分析和抽象建模；然后，从网络全局角度出发研究了美国航空网络在遭受蓄意攻击造成全网功能瘫痪的情况下，网络功能的恢复鲁棒性和网络增长对网络自愈能力的影响。研究表明，美国航空网络具有较好的恢复鲁棒性，接近80%的机场在受到能量冲击造成的短暂失效后具有功能自愈能力。航空网络不同的增长机制对网络的自愈能力有着不同的影响。结果证实，为完善航空网络而建立的机场群，由于其较大的连接需求，加大了网络区域密度，复杂了网络拓扑结构，降低了网络的自愈能力；而小型机场的增加不会影响网络整体的自愈能力。 

Self-healing characteristics of aviation network under different growth mechanisms

Based on the theory of complex networks,this paper analyzes the functional self-healing mech-anism of aviation network from the energy perspective,and studies the self-healing characteristics under differ-ent growth mechanisms.Firstly,network structure was divided into self-healing structure and coupling struc-ture,and three kinds of growth mechanisms of the aviation network were analyzed and modelled abstractively. Then,the impact of the recovery robustness of network function and the network growth on network self-healing ability was analyzed in the case of the collapse of the whole network function caused by the deliberate attack on the American aviation network.The research shows that the American aviation network has good recovery ro-bustness,and almost 80% of the airports have self-healing ability after short failure caused by energy shock. However,the different growth patterns of aviation networks have different effects on the self-healing ability of the network.The results confirm that construction of airport groups,which greatly increase network density and make network topology complex due to large connection demand,will reduce network self-healing ability, while the increase of small-scale airport will not affect the overall self-healing capacity of the aviation network.