Berlin 2012 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 6: Delay Dynamics

DY 6.3: Talk

Monday, March 26, 2012, 15:30–15:45, MA 144

Synchronization in networks of noisy oscillators with delayed coupling — •Andrea Vüllings^1,2, Valentin Flunkert¹, and Eckehard Schöll¹ — ¹Technische Universität Berlin, Germany — ²Humboldt Universität zu Berlin, Germany

We investigate networks composed of delay-coupled noisy dynamical components. We concentrate on directed and undirected ring networks (regular networks). The local dynamics of each network agent is given by a stable focus, and each node is subject to Gaussian white noise. We discuss the influence of the coupling delay time on the stochastic network dynamics. By decomposing the general solution for the network dynamics into network modes, we analyze the mean square oscillation amplitude of the nodes for variable delay times. We derive an analytic expression for the mean square amplitude and find that by choosing a suitable delay time the noise induced collective oscillations can be enhanced or suppressed. Numerically, we also discuss the case of a Hopf normal form as the local dynamics of the individual network components and compare these simulations to the analytical results obtained for the linear case.