Berlin 2018 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 58: Chimera states: symmetry-breaking in dynamical networks (joint session DY/SOE)

DY 58.3: Talk

Thursday, March 15, 2018, 10:30–10:45, BH-N 128

Chimeras in a minimal oscillator network and its thermodynamic counterpart — •Sindre W. Haugland^{1, 2}, Felix Kemeth^{1, 2}, and Katharina Krischer¹ — ¹Physik-Department, Nonequilibrium Chemical Physics, Technische Universität München, James-Franck-Str. 1, D-85748 Garching, Germany — ²Institute for Advanced Study - Technische Universität München, Lichtenbergstr. 2a, D-85748 Garching, Germany

A network of nonlinear oscillators can exhibit chimera states, the coexistence of synchronized and desynchronized oscillation, for uniform parameters and symmetrical coupling. In the case of nonlinearly coupled Stuart-Landau oscillators, chimera states form spontaneously from generic initial conditions even when the coupling is purely global.

Here, we start by considering a minimal model of only four globally coupled Stuart-Landau oscillators, identifying a multitude of chimera and related states with a varying degree of symmetry, as well as the specific bifurcations in which these states are created and destroyed. Some of these states are also found to be co-stable. By systematically increasing the ensemble size, we subsequently trace how the minimal states develop and identify which of them give rise to the already known macroscopic chimera states.