• Media type: E-Book; Report; Text
  • Title: Controlling unstable chaos: Stabilizing chimera states by feedback
  • Contributor: Sieber, Jan [Author]; Omel'chenko, Oleh [Author]; Wolfrum, Matthias [Author]
  • imprint: Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013
  • Published in: Preprint / Weierstraß-Institut für Angewandte Analysis und Stochastik , Volume 1859, ISSN 0946 – 8633
  • Issue: published Version
  • Language: English
  • DOI: https://doi.org/10.34657/2168
  • ISSN: 0946-8633
  • Keywords: chimera states ; Chaos control
  • Origination:
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  • Description: We 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.
  • Access State: Open Access