Regensburg 2016 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 37: Nonlinear Dynamics, Synchronization and Chaos

DY 37.6: Vortrag

Mittwoch, 9. März 2016, 11:15–11:30, H48

Periodic sequence of stabilized wave segments in excitable media — Vladimir Zykov and •Eberhard Bodenschatz — MPI of the Dynamics and Self-Organization, Goettingen, Germany

Wave segments represent an interesting and important example of spatio-temporal pattern formation in a broad class of nonlinear dynamic systems, so-called excitable media. For a given excitability a medium supports propagation of a wave segment with a selected size and shape, which is intrinsically unstable, but can be stabilized by an adequate noninvasive feedback control. For the case of a solitary propagating wave segments a universal selection rules have been found by use a free-boundary approach [1,2]. The main aim of our study is to generalize these results on a case of a periodic sequence of wave segments. To this aim a periodic sequence of stabilized wave segments is numerically studied by use of a generic reaction-diffusion model. In addition, the free-boundary approach is applied which allows us to determine the wave segment shape and the speed as functions of the medium parametersa high accuracy.

[1] A. Kothe, V.S. Zykov and H. Engel, Phys. Rev. Lett., 103, 154102 (2009). [2] V.S. Zykov and E. Bodenschatz, New Journal of Physics, 16, 043030 (2014).