This article is cited in 4 papers

Synchronization and Chaos in Adaptive Kuramoto Networks with Higher-Order Interactions: A Review

Anastasiia A. Emelianova^a, Vladimir I. Nekorkin<sup>b

a</sup> 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

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

MSC: 37D45, 37N20, 37N25, 65L11, 92C20, 92C42

Received: 23.10.2024
Accepted: 16.12.2024

Language: English

DOI: 10.1134/S1560354725010046