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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.45: Poster

Donnerstag, 30. März 2006, 16:00–18:00, P1

Monitored Control of Spiral Wave Cores along Arbitrary Trajectories — •Johannes Breuer, Vladimir S. Zykov, Harald Engel, and Eckehard Schöll — Technische Universität Berlin, Berlin, Germany

Controlling spatiotemporal patterns such as spiral waves in excitable media is interesting for various reasons. In particular, as many studies indicate, spiral waves are tightly connected to pathologic excitation modes in the heart muscle (ventricular tachycardia) and potentially related to migraine (spreading depression waves in neural tissue). Hitherto, feedback methods using the effect of resonant drift have proved to be a suitable means to control the motion of a spiral wave core[1, 2]. As an extension of these techniques we have developed a novel control algorithm that extracts the current phase and position of the spiral wave from a small number of detector signals and is thus capable of guiding the wave core along arbitrary prescribed trajectories.

[1] V. S. Zykov, G. Bordiougov, H. Brandtstädter, I. Gerdes, and H. Engel: Global Control of Spiral Wave Dynamics in an Excitable Domain of Circular and Elliptical Shape, Phys. Rev. Lett. 92(1), 018304 (2004)

[2] V. S. Zykov, and H. Engel: Feedback Control of Spiral Waves, Physica D 199, 243 (2004)