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]