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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
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~~
