Dresden 2011 – scientific programme

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DY: Fachverband Dynamik und Statistische Physik

DY 30: Reaction-Diffusion Systems

DY 30.8: Talk

Thursday, March 17, 2011, 12:00–12:15, ZEU 118

Hysteresis in the pinning-depinning transition of a spiral wave close to a circular defect — •Jan Frederik Totz and Harald Engel — Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstr. 36, 10623 Berlin, Germany

A non-monotonous dependence of the rotation period on the defect radius with coexistence between freely rotating and pinned spiral waves in a certain parameter range has been reported first by Pertsov et al. [1]. Recently, these results were confirmed in a detailed numerical bifurcation analysis using the continuation software AUTO [2]. Within a free-boundary formulation the role of curvature and dispersion effects has been clarified [3]. By doing so, quantitative agreement between theoretical predictions and results obtained by numerical simulations was achieved. The experimental verification of the hysteresis phenomenon in an open gel reactor with the photosensitive Belousov-Zhabotinsky reaction is the topic of the talk.

[1] A. M. Pertsov, E. A. Ermakova, A. V. Panfilov, Physica D 14, 117 (1984).

[2] G. Bordyugov, H. Engel, Physica D 228, 49 (2007).

[3] V. Zykov, G. Bordyugov, H. Lentz, H. Engel, Physica D 239, 797 (2010).