Dresden 2026 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 8: Nonlinear Dynamics, Synchronization, and Chaos

DY 8.1: Talk

Monday, March 9, 2026, 09:30–09:45, ZEU/0118

Coherence properties of collective modes in oscillator networks — •Arkady Pikovsky — University of Potsdam, Potsdam, Germany

Synchronization transition in populations of coupled oscillators is manifested by an appearance of a global oscillating mode. While oscillations are perfect in the thermodynamic limit, for finite ensembles the collective mode is subject to fluctuations. Here we focus on the properties of diffusion of the global phase, which determine coherence time of the collective oscillations. We discuss scaling of the diffusion constant with the system size, and describe cases where the coherence is perfect.

Keywords: synchronization; finite-size effects; diffusion; phase coherence