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DY: Fachverband Dynamik und Statistische Physik

DY 18: Delay and Feedback Dynamics

DY 18.5: Vortrag

Montag, 16. März 2020, 18:00–18:15, ZEU 147

An event-based model for synchronization in digital phase locked loops — •Sara Ameli Kalkhouran, Lucas Wetzel, and Frank Jülicher — Max Planck Institute for physics of complex systems, Dresden, Germany

We study synchronization in digital phase-locked loops, which are two state oscillators in a feedback loop. The state of the oscillator, either high or low, is represented by sets of discrete event-times at which signals switch between these states and a low pass filter acts as the controlling element. One advantage of this model is that the implementation of noise, so-called timing-jitter, can be done in a physically sound way as it can be added directly to the event-times.

We have developed a numeric and analytic framework within which one can study the case of free-running oscillation (oscillator in open loop) as well as entrainment with an external reference (closed-loop). This model can be generalized for variety of discrete-continuous systems; Having the response function of a system, e.g. obtained from experiments, our approach can be used to analyse the dynamics of a variety of systems in which the timing of an event is controlled in a self-tuned manner; like cell division, or firing in a neural population.