Pinning clustering component synchronization of nonlinearly coupled complex dynamical networks

Jie Liu; Jian-Ping Sun; Jie Liu; Jian-Ping Sun

doi:10.3934/math.2024453

AIMS Mathematics

2024, Volume 9, Issue 4: 9311-9328. doi: 10.3934/math.2024453

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Research article

Pinning clustering component synchronization of nonlinearly coupled complex dynamical networks

Jie Liu ^1,2,
Jian-Ping Sun ^{1,2
,
,}

1.
College of Electrical and Information Engineering, Lanzhou University of Technology, Lanzhou 730050, China
2.
Department of Applied Mathematics, Lanzhou University of Technology, Lanzhou 730050, China

Received: 25 December 2023 Revised: 07 February 2024 Accepted: 23 February 2024 Published: 06 March 2024
MSC : 34D06, 34H05, 93D05

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.
- complex dynamical network,
- clustering component synchronization,
- pinning control,
- Lyapunov stability theory,
- nonlinearly coupling
Citation: Jie Liu, Jian-Ping Sun. Pinning clustering component synchronization of nonlinearly coupled complex dynamical networks[J]. AIMS Mathematics, 2024, 9(4): 9311-9328. doi: 10.3934/math.2024453

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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.

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