Optical Solitons and Frequency Comb Generation - Abstract

Eydam, Sebastian

Mode-locked solutions in systems of globally-coupled phase oscillators

In systems of globally-coupled phase oscillators with equidistant natural frequencies, one can observe an interesting collective phenomenon below the synchronization threshold. The collective behavior is characterized by sharp pulses in the mean-field amplitude and therefore appropriately called mode locked. We discuss the emergence of this particular type of solution as well as the typical bifurcation scenarios at the stability boundaries. In large ensembles, where the natural frequencies are drawn from a multi-modal frequency distribution, mode-locked solutions are observed as a macroscopic phenomenon and the breakdown of the pulsation is explored for increased disorder in the natural frequencies.