Dresden 2026 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 48: Nonlinear Dynamics and Time-Delay Systems

DY 48.3: Vortrag

Donnerstag, 12. März 2026, 10:00–10:15, ZEU/0118

Anticipated synchronization in systems with distributed delay — •David Ortiz, Tobias Galla, and Raúl Toral — Instituto de Física Interdisciplinar y Sistemas Complejos IFISC (CSIC-UIB), Campus UIB, 07122 Palma de Mallorca, Spain

Anticipated Synchronization (AS) describes counterintuitive situations in which a system synchronizes with the future state of another, even though the coupling between the systems is perfectly causal. Thus, the driven system ‘forecasts’ the driver. Common setups include two identical copies of a system, coupled with a fixed delayed interaction. AS has been reported in chaotic, excitable and spatially extended systems.

We extend AS to linear and nonlinear systems coupled with distributed delay. This models situations with uncertainty on the delay, or systems in which there are multiple distinct delay channels. The damped harmonic oscillator can be studied analytically, and shows stable AS provided the coupling strength and mean delay are not too large. We compute the anticipation time, and show that the driven system amplifies the oscillations in the driver. Our theoretical predictions are confirmed by numerical simulations. Numerically, we also investigate nonlinear chaotic and excitable systems. We confirm that AS can occur in the presence of distributed delay. Similar to the case of linear systems, we again find instances of signal enhancement.

Keywords: synchronization; chaos; excitability