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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.
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关键词:
- 多重边复杂网络 /
- 网络拆分 /
- 时滞 /
- Lyapunov稳定理论
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.-
Keywords:
- complex networks with multi-links /
- network split /
- time-delay /
- Lyapunov theory
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