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Subdivision B1: " Pattern Formation under the Influence of Time-delayed Feedback Control and Noise"

Scientific staff:

  • Prof. Dr. Eckehard Schöll, Ph. D. [1]
  • Roland Aust
  • Dr. Markus Dahlem [2]
  • Thomas Dahms [3]
  • Valentin Flunkert
  • Johanne Hizanidis
  • Philipp Hövel
  • Mathias Kehrt
  • Dr. Kathy Lüdge
  • Niels Majer
  • Felix Schneider

Aims [4]

Important Results of the Grant Period 2004 - 2007:

In the previous proposal time-period we gained fundamental knowledge on the mechanism of time-delayed feedback control of noise-induced oscillations as well as of deterministic fixed points and periodic orbits. We investigated simple generic models (Van der Pol oscillator, FitzHugh-Nagumo model, normal form of a Hopf bifurcation) and studied applications on spatially extended systems (globally coupled reaction-diffusion models) describing semiconductor nanostructures, on front dynamics in semiconductor superlattices and on the Oregonator model of an active medium with local diffusion.

  1. Stabilization of fixed points by time-delayed feedback [5]
  2. Stabilization of periodic orbits by time-delayed feedback
    [6]
  3. Stabilization of deterministic spatio-temporal patterns
    [7]
  4. Time-delayed feedback control of noise-induced oscillations
    [8]
  5. Time-delayed feedback control of noise-induced patterns in semiconductors
    [9]
  6. Nonlinear, chaotic and noise-induced front dynamics and noise-induced front dynamics in nanostructures
    [10]

 

Selected Publications [11]

Further Information

  • Report 2001-2003

    • english version[pdf, 1.7MB] [12]
    • german version[pdf, 1.7MB] [13]

  • Earlier work [14]
  • Complete list of Publications [15]
  • Encyclopedia of Nonlinear Science [16]
  • Dynamics Days 2005: Berlin, 25-28 July 2005 [17]
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