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Regensburg 2002 – scientific programme

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DY: Dynamik und Statistische Physik

DY 46: Poster

DY 46.69: Poster

Thursday, March 14, 2002, 15:30–18:00, D

Front propagation under an external field in reaction-diffusion systems — •Evgueni P. Zemskov1, Vladimir S. Zykov2,3, Klaus Kassner1, and Stefan C. Müller21Institut für Theoretische Physik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106 Magdeburg — 2Institut für Experimentelle Physik, Otto-von-Guericke-Universität Magdeburg, Universitätsplatz 2, 39106 Magdeburg — 3Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin

A stability analysis of travelling fronts is performed analytically for a piecewise linear reaction-diffusion system under an external field. Analytical solutions are obtained for the propagating front, the front velocity and the growth rate of perturbations. When the null-cline parameter and the external field are small enough front has an oscillating behaviour. Such a wave is little different from one in an oscillatory medium. In fact, the smallness of the null-cline parameter implies that we have quasi-oscillatory regime.

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