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DY: Fachverband Dynamik und Statistische Physik

DY 10: Posters I

DY 10.31: Poster

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

Synchronization of chaotic networks and the spectral gap of stochastic matrices — •Martin Paulig and Wolfgang Kinzel — Institute for Theoretical Physics, University Würzburg, Am Hubland, 97074 Würzburg, Germany

A network of coupled nonlinear units can synchronize to a common chaotic trajectory. Although the coupling may have a long time delay, synchronization occurs without any time shift. In the limit of very large delay time, the spectral gap of the coupling matrix determines the condition for a stable synchronization manifold. On the other side, the theory of stochastic matrices gives conditions for a nonzero spectral gap. From this relation, we calculate the parameter regions of stable synchronization for various networks with uni- and bi-directional couplings.