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Prescribed-time bipartite synchronization for directed higher-order networks

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  • Xu, Linlong
  • Liu, Xiwei

Abstract

We investigate the prescribed-time complete and bipartite synchronization problems for directed higher-order networks (DHNs). At first, a hypergraph is employed to describe the network’s topological structure, where each hyperedge connects multiple nodes. Different from many existing studies, we introduce generalized coupling matrices and a weighted coupling function, where the elements of the coupling matrices can take positive or negative values, and the nodes in the coupling function are weighted differently. To address synchronization and control problems in DHNs, we then apply the rearranging variables’ order technique to link DHNs and multiweighted networks. Next, a time-varying regulatory function is introduced, and the coupling matrices are combined from a dimensional perspective to derive the prescribed-time bipartite synchronization criteria. Finally, some numerical simulations are provided.

Suggested Citation

  • Xu, Linlong & Liu, Xiwei, 2025. "Prescribed-time bipartite synchronization for directed higher-order networks," Chaos, Solitons & Fractals, Elsevier, vol. 199(P2).
    • Handle: RePEc:eee:chsofr:v:199:y:2025:i:p2:s0960077925007465
    DOI: 10.1016/j.chaos.2025.116733
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    References listed on IDEAS

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    1. Li, Kezan & Lin, Yingmei & Wang, Junyi, 2024. "Synchronization of multi-directed hypergraphs via adaptive pinning control," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
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