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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.
- 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.
- Stabilization of fixed points by time-delayed feedback
- Stabilization of periodic orbits by time-delayed feedback
- Stabilization of deterministic spatio-temporal patterns
- Time-delayed feedback control of noise-induced oscillations
- Time-delayed feedback control of noise-induced patterns in semiconductors
- Nonlinear, chaotic and noise-induced front dynamics and noise-induced front dynamics in nanostructures
Selected Publications
Further Information
Zusatzinformationen / Extras
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