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Christian Bick (VU Amsterdam)
September 19 @ 13:30 - 14:00
Title : Higher-order Interaction Networks: Phase Reduction, Synchronization, and Global Dynamics
Abstract : Synchronization is a fascinating effect of the interaction between coupled oscillatory units and is ubiquitous in many real-world systems. If the coupling between units is sufficiently weak, phase reductions provide an adequate description of the dynamics. We discuss phase reductions beyond first order that yield phase oscillator networks with higher-order interactions. Specifically, we discuss how the nonpairwise higher-order phase interactions depend on the shape of the limit cycles and the underlying network structure. If time permits, we also discuss how higher-order interactions influence the emergence of metastable (synchronization) dynamics induced by heteroclinic cycles.
The seminar will take place in Room S08 at the Faculty of Sciences.