Dresden 2020 – scientific programme
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SOE: Fachverband Physik sozio-ökonomischer Systeme
SOE 20: Partial Synchronization Patterns in Neuronal Networks II (Focus Session joint with DY / SOE / BP) (joint session SOE/DY)
SOE 20.6: Talk
Friday, March 20, 2020, 11:45–12:00, GÖR 226
Hierarchical frequency clusters in adaptive networks of phase oscillators — •Jan Fialkowski1, Rico Berner1,2, Serhiy Yanchuk2, and Eckehard Schöll1 — 1Institute of Theoretical Physics, Technische Universität Berlin — 2Institute of Mathematics, Technische Universität Berlin
Adaptive dynamical networks appear in various real-world systems. In this talk, we explain the basic mechanism behind the pattern formation in adaptive networks by considering a simple phenomenological phase oscillator model. Frequency synchronization is shown to be the key phenomenon for the emergence of hierarchical modular network structures. A particular class of phase clusters, called double antipodal clusters, are presented and shown to play an important role in the organization of the high dimensional dynamics. In the end, we also examine the importance of different timescales in the adaptive and oscillatory dynamics.