Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Poster I

DY 24.30: Poster

Mittwoch, 28. März 2007, 16:00–18:00, Poster D

Stabilization of unstable trajectories of the wave tip in excitable media — •Jan Schlesner, Vladimir Zykov, and Harald Engel — TU Berlin, Hardenbergstr. 36, 10623 Berlin, Germany

In a variety of excitable media, depending on the parameters different regimes of rotation have been observed for spiral waves including rigid rotation, meandering and hypermeandering. A proportional and a time-delayed feedback algorithms are elaborated to stabilize unstable regimes of the tip of spiral waves in a parameter range where these regimes are unstable in the absence of the feedback. As both control methods are non-invasive their application allows us to determine the characteristic parameters of unstable rigid rotation. As representative example of excitable media we use the FHN model in our calculations. In many system there are additional latencies in the control loop that shrink the control domain for successful stabilization. We propose an effective method to overcome its destabilizing influence.