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Regular and Chaotic Dynamics, 2025, Volume 30, Issue 1, Pages 57–75
DOI: https://doi.org/10.1134/S1560354725010046 (Mi rcd1296) 		 
Synchronization and Chaos in Adaptive Kuramoto Networks with Higher-Order Interactions: A Review

Anastasiia A. Emelianovaa, Vladimir I. Nekorkinb

a A. V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, ul. Ulyanova 46, 603950 Nizhny Novgorod, Russia
b National Research Lobachevsky State University of Nizhny Novgorod, pr. Gagarina 23, 603022 Nizhny Novgorod, Russia
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DOI: https://doi.org/10.1134/S1560354725010046
Abstract: This paper provides an overview of the results obtained from the study of adaptive dynamical networks of Kuramoto oscillators with higher-order interactions. The main focus is on results in the field of synchronization and collective chaotic dynamics. Identifying the dynamical mechanisms underlying the synchronization of oscillator ensembles with higher-order interactions may contribute to further advances in understanding the work of some complex systems such as the neural networks of the brain.
Keywords: Kuramoto model, adaptive couplings, higher-order interactions, synchronization, chaos, mixed dynamics
Funding agency Grant number
Russian Science Foundation 24-12-00245
This work was supported by the Russian Science Foundation under Project No. 24-12-00245.
Received: 23.10.2024
Accepted: 16.12.2024
Document Type: Article
MSC: 37D45, 37N20, 37N25, 65L11, 92C20, 92C42
Language: English
Citation: Anastasiia A. Emelianova, Vladimir I. Nekorkin, “Synchronization and Chaos in Adaptive Kuramoto Networks with Higher-Order Interactions: A Review”, Regul. Chaotic Dyn., 30:1 (2025), 57–75
Citation in format AMSBIB
\Bibitem{EmeNek25}
\by Anastasiia A. Emelianova, Vladimir I. Nekorkin
\paper Synchronization and Chaos in Adaptive Kuramoto Networks with Higher-Order Interactions: A Review
\jour Regul. Chaotic Dyn.
\yr 2025
\vol 30
\issue 1
\pages 57--75
\mathnet{http://mi.mathnet.ru/rcd1296}
\crossref{https://doi.org/10.1134/S1560354725010046}
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