Cluster lag synchronization in fractional-order community networks with nondelay and delay coupling

Congling Wu and Zhaoyan Wu
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Congling Wu: School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022, P. R. China
Zhaoyan Wu: Jiangxi Provincial Center of Applied Mathematics, Jiangxi Normal University, Nanchang 330022, P. R. China

International Journal of Modern Physics C (IJMPC), 2025, vol. 36, issue 05, 1-14

Abstract: Lag synchronization is a special synchronization manner and has wide applications. For community network, in view of the differences among communities, the synchronization lags in different communities may be nonidentical. This paper investigates the cluster lag synchronization in fractional-order community networks with nondelay and delay coupling. The node dynamics in different communities are nonidentical and even have nonidentical dimensions. Based on the Lyapunov stability theory, effective feedback controllers are designed for achieving cluster lag synchronization and several synchronization criteria are derived. Finally, numerical simulations are provided to demonstrate the effectiveness of the theoretical results.

Keywords: Cluster lag synchronization; fractional-order network; community network; coupling delay (search for similar items in EconPapers)
Date: 2025
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DOI: 10.1142/S0129183124502218

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