Regensburg 2013 – scientific programme
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DY: Fachverband Dynamik und Statistische Physik
DY 12: Nonlinear Dynamics, Synchronization and Chaos I
DY 12.7: Talk
Tuesday, March 12, 2013, 11:15–11:30, H48
Spontaneous formation of chimera states under strong global coupling: theory — •Lennart Schmidt1,2, Konrad Schönleber1, Katharina Krischer1, and Vladimir García-Morales1,2 — 1Physik Department, Nonequilibrium Chemical Physics, Technische Universität München, Garching, Germany — 2Institute for Advanced Study - Technische Universität München, Garching, Germany
Chimera states are spatiotemporal patterns in coupled oscillatory media, where synchronized and incoherent domains coexist. A nonlocal coupling is believed to be indispensable for the formation of such states. By means of a modified complex Ginzburg-Landau equation (MCGLE) we demonstrate, however, that chimera states arise spontaneously through a bifurcation from cluster states when just a strong global coupling is present. This prediction was validated experimentally with the oscillatory electrooxidation of silicon in fluoride containing electrolytes, for which the MCGLE was originally derived. The results confirm that the proposed new route to chimeras is robust. Furthermore, as a global coupling is much more frequently encountered than a nonlocal coupling, the occurrence of chimeras is considerably more likely than previously anticipated.