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A1: Delayed feedback control of coupled nonlinear systems and networks
Prof. Dr. Eckehard Schöll, PhD 
A delay term added to a differential equation increases the dimension to infinity, and adds a wealth of complex dynamic behavior. Such delays arise naturally in coupled systems as delayed coupling or delayed feedback due to finite signal transmission and processing times, latencies, or external control loops. Our objective is to develop delayed feedback and coupling schemes in order to deliberately design and control the dynamics in composite systems and networks. For this purpose we study the deterministic and stochastic dynamics of (i) a few coupled nonlinear elements (network motifs), (ii) larger complex networks (e.g., regular, random, or small-world).