- Letter
Determining bifurcations to explosive synchronization for networks of coupled oscillators with higher-order interactions
Phys. Rev. E 109, L022202 – Published 23 February, 2024
DOI: https://doi.org/10.1103/PhysRevE.109.L022202
Abstract
We determine bifurcations from gradual to explosive synchronization in coupled oscillator networks with higher-order coupling using self-consistency analysis. We obtain analytic bifurcation values for generic symmetric natural frequency distributions. We show that nonsynchronized, drifting, oscillators are non-negligible and play a crucial role in bifurcation. As such, the entire natural frequency distribution must be accounted for, rather than just the shape at the center. We verify our results for Lorentzian- and Gaussian-distributed natural frequencies.
