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TU Berlin

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A3: Self-organization and control in coupled networks and time-delayed systems

Principal investigator:

Dr. Matthias Wolfrum

Project summary:

Self-organized dynamical phenomena and collective behavior can be found in large coupled systems from
various fields of science, e.g neural networks or laser systems. We will analyze and control complex and
high dimensional dynamics induced by complex network structures, large coupling delays, and adaptive
coupling. This includes spatial localization in coupled excitable systems, as well as temporal localization
in delay systems, describing phase solitons, or in coupled oscillator systems for mode locking. The main
methods for large coupled systems will be symmetric bifurcation theory and continuum limits, while for
adaptive coupling and large delays we will use multi-scale methods and singular perturbations.