Higher-order interactions induce anomalous transitions to synchrony

Ver/Abrir
Identificadores
URI: https://hdl.handle.net/10902/34229
ISSN: 1054-1500
ISSN: 1089-7682
Compartir
Estadísticas
Ver Estadísticas
Google Scholar
Registro completo
Mostrar el registro completo DC
Autoría
León Merino, IvánAutoridad Unican; Muolo, Riccardo; Hata, Shigefumi; Nakao, Hiroya
Fecha
2024-01
Derechos
© American Institute of Physics. This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. The following article appeared in León, I., Muolo, R., Hata, S., Nakao, H. Higher-order interactions induce anomalous transitions to synchrony. (2024). Chaos, 34(1), 013105 and may be found at https://doi.org/10.1063/5.0176748
Publicado en
Chaos, 2024, 34(1), 013105
Editorial
American Institute of Physics
Disponible después de
2025-02-01
Enlace a la publicación
Resumen/Abstract
We analyze the simplest model of identical coupled phase oscillators subject to two-body and three-body interactions with permutation symmetry and phase lags. This model is derived from an ensemble of weakly coupled nonlinear oscillators by phase reduction, where the first and second harmonic interactions with phase lags naturally appear. Our study indicates that the higher-order interactions induce anomalous transitions to synchrony. Unlike the conventional Kuramoto model, higher-order interactions lead to anomalous phenomena such as multistability of full synchronization, incoherent, and two-cluster states, and transitions to synchrony through slow switching and clustering. Phase diagrams of the dynamical regimes are constructed theoretically and verified by direct numerical simulations. We also show that similar transition scenarios are observed even if a small heterogeneity in the oscillators’ frequency is included.
Colecciones a las que pertenece