22.01.2024 16:00 Arkady Pikovsky (Uni Potsdam):
Dynamics of oscillator populations with disorder in the phase shifts in couplingMI 03.06.011 (Boltzmannstr. 3, 85748 Garching)

In a popular Kuramoto-Sakaguchi model of globally coupled phase oscillators, the phase shift in coupling is a constant. We extend this model to a situation where mutual phase shifts are i.i.d. random numbers. In the first part of the talk, a nontrivial distribution of the phase shifts is assumed. We show that after the averaging over the phase shifts, a system without disorder appears with a new effective coupling function, which is the convolution of the original coupling function with the distribution of the phase shifts. In the second part of the talk, a situation with maximally frustrating disorder is considered, where the distribution of the phase shifts is uniform. In this case, the averaged coupling vanishes, and a standard synchronization transition is not observed. Nevertheless, some order in the phase dynamics appears as the coupling strength grows. We characterize it via a novel correlation order parameter, and via the properties of the frequency entrainment. The talk is based on the preprints https://arxiv.org/abs/2307.12563 and https://arxiv.org/abs/2401.00281.