2013/12/19 by Lennart Schmidt, Konrad Schönleber, Katharina Krischer +1 · 1 citation
Mathematics · Physics and Astronomy · #math-ph #math.MP #nlin.AO #nlin.CD #nlin.PS
paper · pdf · doi:10.1063/1.4858996
7 pages, 5 figures, final version, accepted for publication in Chaos
arxiv created 2013/12/19 · arxiv updated 2015/06/18
We report a novel mechanism for the formation of chimera states, a peculiar spatiotemporal pattern with coexisting synchronized and incoherent domains found in ensembles of identical oscillators. Considering Stuart-Landau oscillators we demonstrate that a nonlinear global coupling can induce this symmetry breaking. We find chimera states also in a spatially extended system, a modified complex Ginzburg-Landau equation. This theoretical prediction is validated with an oscillatory electrochemical system, the electrooxidation of silicon, where the spontaneous formation of chimeras is observed without any external feedback control.