Resonances and entrainment breakup in Kuramoto models with multimodal frequency densities.
We characterize some intriguing aspects of the entrainment behavior of coupled oscillators by means of a perturbation analysis of the partially synchronized solution of the classical Kuramoto-Sakaguchi model. The analysis reveals that partial entrainment may disappear with increasing coupling strength. It also predicts the occurrence of resonances: partial entrainment is induced in oscillators with natural frequencies in specific intervals not corresponding to high oscillator densities. The results are illustrated by simulations.
De Smet
Filip
F
SYSTeMS Research Group, Department of Electrical Energy, Systems and Automation, Ghent University, Technologiepark Zwijnaarde 914, 9052 Zwijnaarde, Belgium. Filip.DeSmet@UGent.be
Aeyels
Dirk
D