# Berlin 2012 – wissenschaftliches Programm

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# DY: Fachverband Dynamik und Statistische Physik

## DY 22: Posters I

### DY 22.34: Poster

### Mittwoch, 28. März 2012, 17:00–19:00, Poster A

**Stability of frequency-locked solutions on a ring of coupled phase oscillators with distributed delays** — •Lucas Wetzel^{1}, Saul Ares^{1}, Luis G. Morelli^{2}, Andrew C. Oates^{2}, and Frank Jülicher^{1} — ^{1}Max Planck Institute for the Physics of Complex Systems — ^{2}Max Planck Institute of Molecular Cell Biology and Genetics

We study systems of identical coupled phase oscillators, introducing a delay distribution that weights the contributions to the coupling arising from different past times. We have previously shown that for any coupling topology where each oscillator has an equal number of neighbors, the frequency and stability of the phase-locked solutions only depend on the first moment of the delay distribution.

In this contribution I will explore the stability of frequency-locked solutions where all oscillators synchronize to a common global frequency, but keep constant nonzero phase differences with respect to one another. We find analytical expressions, confirmed through numerical simulations, for the stability and conclude that distributed delays can change the stability of frequency-locked solutions.