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

Scientific staff:

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

Zusatzinformationen / Extras

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