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DY: Fachverband Dynamik und Statistische Physik

DY 10: Posters I

DY 10.40: Poster

Monday, March 14, 2011, 17:00–19:00, P4

Synchronisation in networks of delay-coupled type-I excitable systems — Andrew Keane, •Thomas Dahms, Judith Lehnert, Philipp Hövel, and Eckehard Schöll — Institut f. Theo. Physik, Sekr. EW 7-1, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany

We use a generic model for type-I excitability (known as the SNIPER or SNIC model) to describe the local dynamics of nodes within a network and apply time-delayed coupling as a means of control to stabilise the synchronised dynamics. Utilising the method of the master stability function, we investigate the stability of the synchronised dynamics (i.e. the success of the control) and its dependence on the two coupling parameters, namely the coupling strength and delay time. The results are compared to numerical simulations for exemplary cases (including random networks and small-world networks). It is shown that for particular parameter ranges the results are comparable to previous work with the FitzHugh-Nagumo model (a model for type-II excitability), while for other parameter values the stability of synchronisation will depend on the coupling strength and delay time.