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

Scientific staff:

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

Aims

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
2. Stabilization of periodic orbits by time-delayed feedback
   
3. Stabilization of deterministic spatio-temporal patterns
   
4. Time-delayed feedback control of noise-induced oscillations
   
5. Time-delayed feedback control of noise-induced patterns in semiconductors
   
6. Nonlinear, chaotic and noise-induced front dynamics and noise-induced front dynamics in nanostructures
   

Selected Publications

Further Information

• Report 2001-2003
  • english version[pdf, 1.7MB]
  • german version[pdf, 1.7MB]

• Earlier work
• Complete list of Publications
• Encyclopedia of Nonlinear Science
• Dynamics Days 2005: Berlin, 25-28 July 2005