Dresden 2014 – scientific programme
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BP: Fachverband Biologische Physik
BP 37: Networks, From Topology to Dynamics II (joint SOE/DY/BP)
BP 37.1: Talk
Thursday, April 3, 2014, 12:15–12:30, GÖR 226
Synchronization in two-layer multiplex networks of conformist and contrarian interactions — •Maximilian Sadilek1 and Stefan Thurner1,2,3 — 1Section for Science of Complex Systems, Medical University of Vienna, Spitalgasse 23, A-1090, Austria — 2Santa Fe Institute, 1399 Hyde Park Road, Santa Fe, NM 87501, USA — 3International Institute for Applied Systems Analysis, Schlossplatz 1, A-2361 Laxenburg, Austria
Several mathematical models have been proposed to describe synchronization in social, biological and physical systems, the most known being the Kuramoto model (KM).
We present a Kuramoto-type model on two layers which is designed to capture the interplay of synchronization-enhancing (conformist) and -reducing (contrarian) links in a multiplex network. The model is a combination of a KM on the first layer and a phase shifted KM on the second layer. The topology of the layers varies from random networks to small world networks.
We find indications of a phase transition from the synchronized to the unsynchronized phase in terms of the phase shift parameter of the model. Further, we observe an upward shift of the dominant frequencies in the power spectra with increasing values of the phase shift parameter.
These results may elucidate the understanding of synchronization modes in the human brain and their consequences.