41 citations · 105 across the 7 of their papers we have counts for
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nlin.AO2020★ 11 cited
Coupled Moebius Maps as a Tool to Model Kuramoto Phase Synchronization
Chen Chris Gong, Ralf Toenjes, Arkady Pikovsky
We propose Moebius maps as a tool to model synchronization phenomena in coupled phase oscillators. Not only does the map provide fast computation of phase synchronization, it also…
nlin.AO2019★ 41 cited
Low-Dimensional Dynamics for Higher Order Harmonic Globally Coupled Phase Oscillator Ensemble
Chen Chris Gong, Arkady Pikovsky
The Kuramoto model, despite its popularity as a mean-field theory for many synchronization phenomenon of oscillatory systems, is limited to a first-order harmonic coupling of phase…
nlin.AO2019★ 6 cited
Microscopic Cross-Correlations in the Finite-Size Kuramoto Model of Coupled Oscillators
F. Peter, C. Gong, A. Pikovsky
Super-critical Kuramoto oscillators with distributed frequencies separate into two disjoint groups: an ordered one locked to the mean field, and a disordered one consisting of effe…