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- ItemControlling unstable chaos: Stabilizing chimera states by feedback(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Sieber, Jan; Omel'chenko, Oleh; Wolfrum, MatthiasWe present a control scheme that is able to find and stabilize a chaotic saddle in a system with a large number of interacting particles. This allows us to track a high dimensional chaotic attractor through a bifurcation where it loses its attractivity. Similar to classical delayed feedback control, the scheme is non-invasive, however, only in an appropriately relaxed sense considering the chaotic regime as a statistical equilibrium displaying random fluctuations as a finite size effect. We demonstrate the control scheme for so called chimera states, which are coherence-incoherence patterns in coupled oscillator systems. The control makes chimera states observable close to coherence, for small numbers of oscillators, and for random initial conditions.