Berlin 2015 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 28: Nonlinear Dynamics, Synchronization and Chaos - Part I
DY 28.5: Talk
Wednesday, March 18, 2015, 10:30–10:45, BH-N 128
Synchronizing noisy and chaotic oscillators with non-uniform couplings — •Bernard Sonnenschein1, Thomas K. DM. Peron2, Francisco A. Rodrigues3, Jürgen Kurths1,4, and Lutz Schimansky-Geier1 — 1Department of Physics, Humboldt-Universität zu Berlin, Germany — 2Instituto de Fisica de Sao Carlos, Universidade de Sao Paulo, Brazil — 3Departamento de Matematica Aplicada e Estatistica, Instituto de Ciencias Matematicas e de Computacao, Universidade de Sao Paulo, Brazil — 4Potsdam Institute for Climate Impact Research, Potsdam, Germany
It is well-known that coupled oscillatory units tend to synchronize. However, many open questions remain, if the couplings are heterogeneous, e.g. in their strengths or in their effects (attractive vs. repulsive). We investigate all-to-all coupled networks that are composed of two intertwined populations. All the oscillators are characterized by two individual coupling strengths and these are the same within the populations, but different between them. One of the coupling constants tells how strongly the single element feels the mean field, while the other one quantifies the strength of the contribution to the mean field. Furthermore, coupling constants are allowed to be negative. For the node dynamics we consider two very different models, chaotic Rössler systems and noisy Kuramoto phase oscillators. Intriguingly, in both models similar states of discordant synchronization can be found. We report so-called blurred pi states, chimera-like points and reentrant synchronization. For the noisy Kuramoto model we derive analytical results providing a deeper understanding of the numerical observations.