Dynamics of Coupled Oscillator Systems - Abstract

Eydam, Sebastian

Bifurcations of mode-locked solutions

We investigate the dynamics of a Kuramoto-type system of globally coupled phase oscillators with equidistant natural frequencies and a coupling strength below the synchronization threshold. In such cases one can observe a stable regime of sharp pulses in the mean-field amplitude which is also known as mode locking. We discuss the emergence of this particular type of solution as well as the typical bifurcation scenarios that are found along their stability boundaries. In large ensembles, where the natural frequencies follow a multi-modal distribution, mode-locked solutions are observed and the breakup of the pulsation due to the broadening of the modal width is explored.