Issue |
EPL
Volume 145, Number 6, March 2024
|
|
---|---|---|
Article Number | 61001 | |
Number of page(s) | 7 | |
Section | Statistical physics and networks | |
DOI | https://doi.org/10.1209/0295-5075/ad2cb6 | |
Published online | 26 March 2024 |
Synchronization on higher-order networks
1 School of Mathematics and Statistics, Wuhan University - Hubei 430072, China
2 Hubei Key Laboratory of Computational Science, Wuhan University - Hubei 430072, China
3 Hubei Key Laboratory of Power Equipment & System Security for Integrated Energy and School of Electrical Engineering and Automation, Wuhan University - Hubei 430072, China
4 Department of Mathematics, College of Science, Shanghai University - Shanghai, China
Received: 17 December 2023
Accepted: 23 February 2024
Network science has already been fruitful and confirmed effective on the description of real-world or abstract systems. An increasing number of researches and instances have successfully verified, however, that interactions in systems may occur among three, four, or even more components. The introduction of higher-order perspective brings a revolution on network science, and refreshes researchers’ understanding of synchronization. Hence, an overview is presented here in regard of synchronization on higher-order networks. We start from an introduction of how the higher-order networks are represented using algebraic tools. Then a series of landmark researches on synchronization is reviewed under circumstances of whether or not the dynamics contains control. Finally, we summarize our conclusions and propose our outlooks on expectations of future works.
© 2024 EPLA
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