Synchronization of higher-order networks with multiple time-varying delays via intermittent control

IF 3.8 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2025-09-20 DOI:10.1016/j.cnsns.2025.109325

Mengjie Xiao , Xiyao Leng , Zhaoyan Wu

引用次数: 0

Abstract

In this paper, synchronization problem of higher-order networks with multiple time-varying delays is investigated via intermittent control. Unlike traditional networks limited to pairwise interactions, higher-order networks capture multi-node interactions, enabling modeling of more complex real-world systems. For achieving synchronization, the intermittent control strategy is introduced to design proper controller. Based on Lyapunov stability theory and mathematical analysis techniques, the sufficient conditions with intermittent gain, control rate and other parameters are obtained for synchronization of higher-order networks. Noticeably, we provide two cases for optimizing the control rate. Lastly, numerical simulations are provided to validate and demonstrate the accuracy of the derived results.

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基于间歇控制的多时变时延高阶网络同步

本文利用间歇控制方法研究了多时变时滞高阶网络的同步问题。与局限于两两交互的传统网络不同，高阶网络捕获多节点交互，从而能够对更复杂的现实世界系统进行建模。为了实现同步，引入间歇控制策略，设计合适的控制器。基于李雅普诺夫稳定性理论和数学分析技术，得到了具有间歇增益、控制速率等参数的高阶网络同步的充分条件。值得注意的是，我们提供了两个优化控制率的案例。最后，通过数值模拟验证了所得结果的准确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.