具有结构洞的异结构时滞复杂网络同步
Synchronization of Time-Delay Complex Networks with Structural Hole and Different Structure
摘要: 借鉴社会网络研究中的结构洞概念，利用WS和NW小世界网络建立了具有结构洞的复杂网络模型。并采用时滞的Lorenz混沌系统和时滞的Chen混沌系统作为网络节点，基于Lyapunov稳定性定理，设计合适的控制器，实现了具有结构洞的异结构时滞复杂网络同步。数值模拟证明了具有结构洞的异结构时滞网络实现了完全同步。
Abstract: Drawing on the concept of structural holes in the study of social networks, a complex network model with a structural hole is established using WS and NW small-world networks. And the time- lagged Lorenz chaotic system and the time-lagged Chen chaotic system are used as network nodes to design suitable controllers based on Lyapunov stability theorem to realize the synchronization of time-lagged complex networks with structural hole and different structural. Numerical simulations demonstrate that the time-lagged networks with structural hole and different structure is fully synchronized.
文章引用：王晨阳. 具有结构洞的异结构时滞复杂网络同步[J]. 应用数学进展, 2022, 11(4): 2156-2164. https://doi.org/10.12677/AAM.2022.114232

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