有向高阶网络的规定时间二部同步

IF 5.6 1区数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Chaos Solitons & Fractals Pub Date : 2025-06-25 DOI:10.1016/j.chaos.2025.116733

Linlong Xu, Xiwei Liu

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引用次数: 0

摘要

研究了有向高阶网络（dhn）的规定时间完备和二部同步问题。首先，使用超图来描述网络的拓扑结构，其中每个超边缘连接多个节点。与现有的许多研究不同，我们引入了广义耦合矩阵和加权耦合函数，其中耦合矩阵的元素可以取正值或负值，并且耦合函数中的节点的权重不同。为了解决dhn中的同步和控制问题，我们将变量的顺序重排技术应用于dhn和多加权网络之间的连接。其次，引入时变调节函数，从量纲角度对耦合矩阵进行组合，推导出规定时间的二部同步准则。最后进行了数值模拟。

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Prescribed-time bipartite synchronization for directed higher-order networks

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.

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来源期刊

Chaos Solitons & Fractals 物理-数学跨学科应用

CiteScore

13.20

自引率

10.30%

发文量

1087

审稿时长

9 months

期刊介绍： Chaos, Solitons & Fractals strives to establish itself as a premier journal in the interdisciplinary realm of Nonlinear Science, Non-equilibrium, and Complex Phenomena. It welcomes submissions covering a broad spectrum of topics within this field, including dynamics, non-equilibrium processes in physics, chemistry, and geophysics, complex matter and networks, mathematical models, computational biology, applications to quantum and mesoscopic phenomena, fluctuations and random processes, self-organization, and social phenomena.