Inhalt des Dokuments
A1: Delayed feedback control of coupled nonlinear systems and networks
Principal investigator:
Prof. Dr. Eckehard Schöll, PhD [1]
Project
summary:
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).