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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
Аннотация:
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.
Ключевые слова:
Kuramoto model, adaptive couplings, higher-order interactions, synchronization, chaos, mixed dynamics
Поступила в редакцию: 23.10.2024 Принята в печать: 16.12.2024
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd1296 https://www.mathnet.ru/rus/rcd/v30/i1/p57
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