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DY: Fachverband Dynamik und Statistische Physik

DY 38: Partial Synchronization in Networks (Focus Session joint with DY and BP) (joint session SOE/DY)

DY 38.3: Talk

Wednesday, March 24, 2021, 09:40–10:00, SOEa

Complexified Kuramoto model -- synchrony in the weak coupling regime — •Moritz Thümler, Sheshagobal Srinivas, Malte Schroeder, and Marc Timme — TU Dresden, Dresden, Germany

Networks of Kuramoto oscillators constitute paradigmatic models for the emergence of temporal patterns -- foremost synchrony -- across oscillatory systems. Here we extend the Kuramoto model to complex dynamical variables. We uncover a transition from traditional synchrony emerging for sufficiently large coupling strengths to a second type of synchrony that exists in the weak coupling regime, i.e. below the coupling required for the real-variable model to synchronize. The new type of synchrony state is known from systems that are not dissipative but conservative, compare [1,2] for relations of the two system types. We introduce a novel, two dimensional order parameter for networks of N oscillators that enables us to consistently quantify synchrony.

[1] D. Witthaut and M Timme, Phys. Rev. E 90:032917 (2014)

[2] D. Witthaut et al., Nature Comm. 8:14829 (2017)