【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.更多还原

【Abstract】 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.更多还原