Journal of Guangxi Normal University(Natural Science Edition) ›› 2024, Vol. 42 ›› Issue (2): 140-151.doi: 10.16088/j.issn.1001-6600.2023051704

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Hypergraph Synchronization with Uncertain Coupling Mechanism under Pinning Control

YU Tingying1, SHI Changyao1, LI Kezan1,2*   

  1. 1. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin Guangxi 541004, China;
    2. Center for Applied Mathematics of Guangxi (GUET), Guilin Guangxi 541004, China
  • Received:2023-05-17 Revised:2023-07-24 Published:2024-04-22

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Abstract: Recently, hypergraph synchronization is a hot topic in network science. However, the study of synchronization on hypergraphs with uncertain coupling mechanism is not reported. Therefore, a general framework for uncertain-coupled hypergraphs is proposed in this paper. The dimension of the error system is reduced by the simultaneous block diagonalization technique for the matrix, which facilitates the calculation of the Lyapunov exponents. On this basis, the necessary condition of synchronization of the uncertain-coupled hypergraph is obtained. Then, the sufficient condition of synchronization of the uncertain-coupled hypergraph is also obtained based on the Lyapunov stability theory. Finally, numerical simulations are conducted to verify the theoretical results.

Key words: synchronization, hypergraph, uncertain coupling, pinning control

CLC Number:  O231
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