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SOE: Fachverband Physik sozio-ökonomischer Systeme

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

SOE 18.4: Vortrag

Donnerstag, 19. März 2020, 18:15–18:30, GÖR 226

Complexified Kuramoto model II -- abnormal network synchronization — •Moritz Thümler, Malte Schröder, Sheshagobal Marehalli Srinivas, and Marc Timme — Center for Advancing Electronics Dresden Chair for Network Dynamics 01062 Dresden Germany

Networks of Kuramoto oscillators commonly synchronize in the regime of sufficient coupling strengths. Extending the Kuramoto model to complex dynamical variables, and our previous contribution [1] to networks we here show under which choices of parameters we can expect synchrony. In particular we show the transition between the traditional real valued Kuramoto modell and its complex extension. Furthermore we are discussing the lack of a well defined order parameter in the comlex regime.

[1] Shesha et al., Complexified Kuramoto model I -- synchrony in the asynchronous regime, DPG abstracts, above (2020)