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TU Berlin

Inhalt des Dokuments

A3: Activity patterns in delay-coupled systems

Principal investigators:

Prof. Dr. Serhiy Yanchuk
Dr. Matthias Wolfrum

Project summary:

Time delays appear commonly in mathematical models of natural systems, such as neural networks or coupled lasers. In this project, we investigate the emergence of new dynamical behaviors (activity patterns) in networks of delay-coupled systems as well as spatially distributed systems with delayed feedbacks. More specifically we address the following points: (i) description of dynamical patterns in networks of excitable systems with time-delayed coupling, (ii) derivations of amplitude equations for systems with multiple time delays, and (iii) control of localized solutions in PDEs with time-delayed feedback.