多重边复杂网络系统的稳定性分析  

Stability analysis of complex networks with multi-links

作　　者：高洋[1] 李丽香[1] 彭海朋[1] 杨义先[1] 张小红[1,2] 

机构地区：[1]北京邮电大学,网络与交换技术国家重点实验室,信息安全中心,北京100876 [2]江西理工大学信息工程学院,赣州341000

出　　处：《物理学报》2008年第3期1444-1452,共9页Acta Physica Sinica

基　　金：国家重点基础研究发展计划(973)项目(批准号:2007CB310704);国家自然科学基金(批准号:60673098);国家自然科学基金委员会与香港研究资助局联合科研基金(批准号:60731160626)资助的课题~~

摘　　要：根据网络中边的不同性质提出了网络拆分的思想,通过引入时滞进行拆分,从而建立了多重边复杂网络的动力学模型.基于Lyapunov稳定理论研究了多重边复杂网络的稳定性问题,给出了节点动力学无时滞和有时滞两种情况下网络稳定的充分条件.最后通过数值仿真验证了结论的正确性和有效性.In this paper, a new idea about network split is presented according to the different nature of the network links. Time-delay has been introduced into networks to effect the split and on that a model of complex dynamical networks with multi-links has been constructed. Based on Lyapunov theory, the stability analysis of networks with multi-links is also studied. The sufficient conditions of the stability of networks with time-delay and without time-delay are respectively presented. The validility of the results are proved by numerical simulation of this paper.

关 键 词：多重边复杂网络 网络拆分 时滞 Lyapunov稳定理论 

分 类 号：N941[自然科学总论—系统科学] O415.6[理学—理论物理]