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Clustering Component Synchronization of Nonlinearly Coupled Complex Networks via Pinning Control

Jie Liu and Jian-Ping Sun ()
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Jie Liu: College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China
Jian-Ping Sun: College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China

Mathematics, 2024, vol. 12, issue 7, 1-17

Abstract: In this paper, the problem of clustering component synchronization of nonlinearly coupled complex networks with nonidentical nodes and asymmetric couplings is investigated. A pinning control strategy is designed to achieve the clustering component synchronization with respect to the specified components. Based on matrix analysis and stability theory, clustering component synchronization criteria are established. Two numerical simulations are also provided to show the effectiveness of the theoretical results.

Keywords: clustering component synchronization; complex network; nonlinearly coupled; pinning control (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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