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A3: Self-organization and control in coupled networks and time-delayed systems
Dr. Matthias Wolfrum 
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.