Low-dimensional dynamics for higher-order harmonic, globally coupled phase-oscillator ensembles
Low-dimensional dynamics for higher-order harmonic, globally coupled phase-oscillator ensembles
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 phases. For higher-order coupling, there only exists a low-dimensional theory in the thermodynamic limit. In this paper, we extend the formulation used by Watanabe and …