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DY: Fachverband Dynamik und Statistische Physik
DY 8: Nonlinear Dynamics, Synchronization, and Chaos
DY 8.5: Hauptvortrag
Montag, 9. März 2026, 10:30–11:00, ZEU/0118
Mean-field approach to finite-size fluctuations in coupled oscillator systems — •Oleh Omelchenko1 and Georg Gottwald2 — 1University of Potsdam, Germany — 2University of Sydney, Australia
Networks of coupled phase oscillators are one of the most studied dynamical systems with numerous applications in physics, chemistry, biology, and engineering. A variety of methods exists to explain their properties and dynamics in the thermodynamic limit, when the network size tends to infinity. However, the behavior of such systems in the more realistic case of a finite number of oscillators still remains poorly understood. In this talk, we revisit the paradigmatic Kuramoto-Sakaguchi model describing synchronization transitions in networks of all-to-all coupled heterogeneous phase oscillators, and propose an ab initio approach for characterizing analytically the statistical properties of finite-size fluctuations in this system. Our framework is applicable to any stationary partially synchronized state and does not require any prior knowledge about its structure. Moreover, it is sufficiently general such that it can be applied to a broader class of interacting particle systems.
Keywords: coupled phase oscillators; finite-size fluctuations; Kuramoto model