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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.
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