Dresden 2020 – scientific programme

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 18: Networks - From Topology to Dynamics II (joint SOE/DY/BP)

SOE 18.3: Talk

Thursday, March 19, 2020, 18:00–18:15, GÖR 226

Complexified Kuramoto model I -- synchrony in the asynchronous regime — Sheshagopal Marehalli Srinivas, Marc Timme, and •Moritz Thümler — Center for Advancing Electronics Dresden Chair for Network Dynamics 01062 Dresden Germany

The Kuramoto model constitutes a paradigmatic model for the emergence of temporal patterns -- foremost synchrony -- in coupled oscillator systems. Here we extend the Kuramoto model to complex dynamical variables and demonstrate 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 model to synchronize, and that is commonly known from systems that are not dissipative but conservative, like the harmonic oscillator, see also [1,2].

[1] D. Witthaut and M Timme, Phys. Rev. E 90:032917 (2014) [2] D. Witthaut et al., Nature Comm. 8:14829 (2017)