Berlin 2015 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 60: Poster - complex systems and data analysis

DY 60.7: Poster

Thursday, March 19, 2015, 16:00–18:00, Poster A

Non-global coupling in two- and three-state systems — •Simon Christ, Bernard Sonnenschein, and Lutz Schimansky-Geier — Humboldt-Universität zu Berlin, Institut für Physik, Deutschland

Two- and three-state renewal models with non-exponential waiting time densities have been used to mimic noisy excitable and oscillatory systems to decribe various processes like chemical reactions or neural networks. In this work effects of non-global coupling on steady and oscillatory states in random binary networks with exhibitory coupling or with indirect coupling as an active medium are investigated. In order to study global oscillations and bistable behaviour with respect to noise intensity and coupling strength or delayed feedback, direct numerical simulations are performed are performed as well as an approximate mean field model is proposed for complex networks. It allows solution for the steady states supplemented with their stability analysis. Transition states and multistability were observed if varying the network structure.