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DY: Fachverband Dynamik und Statistische Physik
DY 33: Poster: Nonlinear Dynamics, Pattern Formation and Networks
DY 33.2: Poster
Wednesday, March 20, 2024, 15:00–18:00, Poster C
Resonant Velocity Tuning of Solitary States in Complex Networks — •Jakob Niehues1,2,3, Serhiy Yanchuk1,2,4, Rico Berner2, Jürgen Kurths1,2, Frank Hellmann1, and Mehrnaz Anvari1,5 — 1Potsdam Institute for Climate Impact Research (PIK), Member of the Leibniz Association, P.O. Box 60 12 03, D-14412 Potsdam, Germany — 2Humboldt-Universität zu Berlin, Department of Physics, Newtonstraße 15, 12489 Berlin, Germany — 3Technische Universität Berlin, ER 3-2, Hardenbergstrasse 36a, 10623 Berlin, Germany — 4University College Cork, School of Mathematical Sciences, Western Road, Cork, T12 XF62, Ireland — 5Fraunhofer Institute for Algorithms and Scientific Computing, 53757 Sankt Augustin, Germany
Partially synchronized solitary states occur frequently when a synchronous system of networked oscillators is perturbed locally. Remarkably, several asymptotic states of different frequencies can coexist at the same node. Here we uncover the mechanism underlying this multistability. The resonant back-reaction of the networks' modes on the solitary oscillator can lead to large energy transfer between them. The frequency adaptation of the oscillator can tune the system to this resonance. We provide a full analytic analysis of this mechanism, and show which network structures enable its presence.
Keywords: Kuramoto model; networks; resonance; structure function relationship; dynamics