A3: Activity patterns in delay-coupled systems

Principal investigators:

PD Dr. Serhiy Yanchuk [1]
Dr. Mathias Wolfrum [2]

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.