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DY: Fachverband Dynamik und Statistische Physik

DY 34: Nonlinear Dynamics, Synchronization, and Chaos

DY 34.2: Vortrag

Donnerstag, 20. März 2025, 11:45–12:00, H43

Synchronization in the Fully Disordered Kuramoto Model of Coupled Oscillators — •Axel Prüser, Sebastian Rosmej, and Andreas Engel — Carl von Ossietzky University Oldenburg, Institut für Physik, D26111 Oldenburg, Germany

We investigate the dynamics of phase oscillators in fully disordered Kuramoto networks with defined degree of asymmetry. Both disordered couplings and disordered phases are considered. Employing the dynamical cavity method, the mean-field dynamics is reduced to a self-consistent stochastic single-oscillator problem which we analyze perturbatively and by numerical simulations. We elucidate the influence of the disorder characteristics on the correlation and response function of the system, together with their impact on the distribution of the order parameter. The mechanism of the so-called volcano transition and its relation to the existence of an oscillator glass phase is clarified.

Keywords: Kuramoto Model; Cavity Method; Asymmetry; Synchronization; Glass transition