Dresden 2011 – scientific programme

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SOE: Fachverband Physik sozio-ökonomischer Systeme

SOE 20: Networks: From Topology to Dynamics IV (with BP, DY)

SOE 20.6: Talk

Thursday, March 17, 2011, 16:30–16:45, GÖR 226

The symmetry of group and cluster synchronization — •Thomas Dahms, Judith Lehnert, and Eckehard Schöll — Institut f. Theor. Physik, Sekr. EW 7-1, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany

We investigate stability of synchronized states in networks where synchronization takes place in cluster states. Using a master stability approach, we find that the master stability function shows a rotational symmetry depending on the number of groups. Topologies that allow for solutions on group or cluster synchronization manifolds show a very similar symmetry in their eigenvalue spectrum, allowing to reduce the extent of the parameter on which the master stability function has to be evaluated. We illustrate our results by calculating stability in the example of delay-coupled semiconductor lasers.