Regensburg 2007 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 24: Poster I

DY 24.29: Poster

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

Rigidly rotating wave patterns in excitable media of a circular shape — Grigory Bordyugov, •Vladimir Zykov, and Harald Engel — TU Berlin, Hardenbergstr. 36, 10623 Berlin, Germany

Spiral waves represent a famous example of self-organized spatio-temporal patterns in excitable media. It is well known that rigidly rotating spirals, moving at a constant angular velocity and shape can be induced in a two-dimensional disk. Here, the existence of another type of rigidly rotating patterns is demonstrated which are excitation spots localized near the no-flux boundary of the disk and moving along it. Using the kinematical description of the moving wave fronts and the established continuation engine AUTO we show that spiral waves and boundary spots coexist in a disk of given size below some critical value of the medium excitability. They coincide at this bifurcation point and no rigidly rotating patterns exist above this critical excitability. The results of these simplified approaches are compared with direct integration of the underlying reaction-diffusion models.