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Research Article | Open Access

Pinning clustering component synchronization of nonlinearly coupled complex dynamical networks

Jie Liu1,2, Jian-Ping Sun1,2( )
College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China
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Abstract

In this paper, the clustering component synchronization of nonlinearly coupled complex dynamical networks with nonidentical nodes was investigated. By applying feedback injections to those nodes who have connections with other clusters, some criteria for achieving clustering component synchronization were obtained. A numerical simulation was also included to verify the correctness of the results obtained.

Keywords

complex dynamical networkclustering component synchronizationpinning controlLyapunov stability theorynonlinearly coupling
CLC number: 34D06, 34H05, 93D05

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AIMS Mathematics
Volume 9 Issue 4,
April 2024
Pages 9311-9328
DOI: 10.3934/math.2024453

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Cite this article:
Liu J, Sun J-P. Pinning clustering component synchronization of nonlinearly coupled complex dynamical networks. AIMS Mathematics, 2024, 9(4): 9311-9328. https://doi.org/10.3934/math.2024453

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Received: 25 December 2023
Revised: 07 February 2024
Accepted: 23 February 2024
Published: 15 April 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)