Regensburg 2000 – scientific programme

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DY: Dynamik und Statistische Physik

DY 46: POSTER II

DY 46.8: Poster

Thursday, March 30, 2000, 15:00–18:00, D

Stability of Traveling Fronts in a Piecewise Linear Reaction-Diffusion System — •Evgueni Zemskov¹, Vladimir S. Zykov², Klaus Kassner¹, and Stefan Müller¹ — ¹Institut für Theoretische Physik, Otto-von-Guericke-Universität, Universitätsplatz 2, 39106 Magdeburg — ²Institut für Experimentelle Physik, Otto-von-Guericke-Universität, Universitätsplatz 2, 39106 Magdeburg

A stability analysis is performed analytically for a Rinzel-Keller-type model with equal diffusion constants. Exact solutions are obtained for the propagating front, the bifurcation diagram of the front velocity and the growth rate of disturbances. The effect of the most unstable eigenmode on the front shape is displayed. Moreover, we give the eigenvalues of the stability operator and show explicitely, how a nonmoving front becomes unstable at the bifurcation point while a moving front turns stable.