Complete synchronization and topology identification of a time-varying network group constituted of chaotic single-ring erbium-doped fiber lasers

IF 2.7 3区数学 Q1 MATHEMATICS, APPLIED

Physica D: Nonlinear Phenomena Pub Date : 2025-04-18 DOI:10.1016/j.physd.2025.134695

Chengren Li , Zhen Zhang , Jianmin Wang , Li Cui , Wei Hu , Chunlai Guo

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Abstract

A universal and efficient strategy is proposed in this work to simultaneously realize the complete synchronization and topology identification of a time-varying network group consisting of chaotic single-ring erbium-doped fiber lasers (SREDFLs). The synchronization controller and identification laws of uncertain inner and outer coupling matrix elements are optimally designed based on the Lyapunov stability theorem. To verify the effectiveness of the proposed technique, sixteen SREDFLs are selected as the nodes to construct a time-varying network group, including four subnetworks, and there exist four nodes within each subnetwork. The simulation results show that the complete synchronization between the response and drive network groups has been achieved, and at the same time, all the undetermined inner and outer coupling matrix elements of the network group can also be accurately and quickly identified even though the topology of the complex network changes with time, indicating that both the synchronization controller and the identification laws designed in our work are feasible and efficient.

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混沌单环掺铒光纤激光器时变网络群的完全同步与拓扑辨识

本文提出了一种通用的、高效的策略来同时实现混沌单环掺铒光纤激光器（SREDFLs）时变网络群的完全同步和拓扑识别。基于李雅普诺夫稳定性定理，优化设计了不确定内外耦合矩阵单元的同步控制器和辨识律。为了验证所提技术的有效性，选取16个sredfl作为节点构建时变网络组，该网络组包括4个子网，每个子网中有4个节点。仿真结果表明，响应和驱动网络组之间实现了完全同步，同时，即使复杂网络的拓扑结构随时间变化，也能准确、快速地识别出网络组中所有未确定的内外耦合矩阵元素，表明我们所设计的同步控制器和识别律是可行和高效的。

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

Physica D: Nonlinear Phenomena 物理-物理：数学物理

CiteScore

7.30

自引率

7.50%

发文量

213

审稿时长

65 days

期刊介绍： Physica D (Nonlinear Phenomena) publishes research and review articles reporting on experimental and theoretical works, techniques and ideas that advance the understanding of nonlinear phenomena. Topics encompass wave motion in physical, chemical and biological systems; physical or biological phenomena governed by nonlinear field equations, including hydrodynamics and turbulence; pattern formation and cooperative phenomena; instability, bifurcations, chaos, and space-time disorder; integrable/Hamiltonian systems; asymptotic analysis and, more generally, mathematical methods for nonlinear systems.