Berlin 2012 – wissenschaftliches Programm

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DY: Fachverband Dynamik und Statistische Physik

DY 22: Posters I

DY 22.38: Poster

Mittwoch, 28. März 2012, 17:00–19:00, Poster A

Local coupling of non-linear oscillators studied in the Bhelousov-Zhabotinsky reaction — •Claudia Lenk¹, Mario Einax², Philipp Maass², and Michael Koehler¹ — ¹Institut für Chemie und Biotechnik, Technische Universität Ilmenau, Germany — ²Fachbereich Physik, Universität Osnabrück, Germany

Pattern formation in reaction-diffusion (RD) systems is important in many areas as, for example, embryonic development, catalytic activity or population dynamics. These systems commonly exhibit a modular structure with coupled subunits, like the cells of the embryo. To investigate the influence of the modular structure onto the dynamical patterns in RD systems we conduct experiments of the Bhelousov-Zhabotinsky reaction in a Nafion membrane or a silica gel with a structured catalyst distribution and compare them with corresponding numerical studies of the FitzHugh-Nagumo equations. In particular we analyse the influence of the oscillator size, distance and shape onto the strength of the coupling between neighbouring spots of high catalyst concentration. In dependence of the oscillator distance, a bifurcation into two different patterns, a spiral wave and a target pattern, is found. Generally the emerging dynamical patterns depend sensitively on the initial conditions and we present first results for predicting the type of dynamical pattern.