2013/10/31 by Jan Sieber, Oleh Omel'chenko, Matthias Wolfrum · 1 citation
Mathematics · Physics and Astronomy · #math.DS #nlin.CD
paper · pdf · doi:10.1103/physrevlett.112.054102
published as Phys. Rev. Lett. 112, 054102, 2014 · 5 pages, 4 figures
arxiv created 2013/12/18 · arxiv updated 2014/06/30
We present a control scheme that is able to find and stabilize an unstable chaotic regime 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.