Pinning control of complex networks based on the entropy of betweenness centrality and node strength

Haiyi Sun, Liang Cai, Chenxinxiao Lv, Yanting Jia · 2023

In order to solve the problem of pinning node selection in undirected weighted networks, a pinning control strategy based on the entropy of betweenness centrality and node strength is proposed in this paper. Firstly, a complex network model is given where each node is the same dynamical system, secondly, sufficient conditions for the synchronization of this network are given, and specific steps of the betweenness centrality and node strength entropy-based pinning control strategy are proposed and applied to different networks. Finally, by comparing the neighborhood information entropy-based pinning control strategy, it is found that in order to synchronize the network, the number of key nodes pinned by the proposed pinning control strategy is smaller than the neighborhood information entropy-based pinning control strategy under different coupling strengths.

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