Adaptation rules inducing synchronization of heterogeneous Kuramoto oscillator network with triadic couplings

Anastasiia A Emelianova; Vladimir I Nekorkin

doi:10.1063/5.0176911

Adaptation rules inducing synchronization of heterogeneous Kuramoto oscillator network with triadic couplings

Chaos. 2024 Feb 1;34(2):023112. doi: 10.1063/5.0176911.

Authors

Anastasiia A Emelianova¹, Vladimir I Nekorkin^{1

2}

Affiliations

¹ A.V. Gaponov-Grekhov Institute of Applied Physics of the Russian Academy of Sciences, 46 Ulyanov Street, 603950 Nizhny Novgorod, Russia.
² National Research Lobachevsky State University of Nizhny Novgorod, 23 Gagarin Avenue, 603022 Nizhny Novgorod, Russia.

PMID: 38363960
DOI: 10.1063/5.0176911

Abstract

A class of adaptation functions is found for which a synchronous mode with different number of phase clusters exists in a network of phase oscillators with triadic couplings. This mode is implemented in a fairly wide range of initial conditions and the maximum number of phase clusters is four. The joint influence of coupling strength and adaptation parameters on synchronization in the network has been studied. The desynchronization transition under variation of the adaptation parameter occurs abruptly and begins with the highest-frequency oscillator, spreading hierarchically to all other elements.