Berlin 2005 – scientific programme

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DY: Dynamik und Statistische Physik

DY 34: Poster

DY 34.10: Poster

Monday, March 7, 2005, 15:30–18:00, Poster TU D

Oscillating traveling pulses in a two-component reaction-diffusion model — •E. P. Zemskov¹, G. V. Bordiougov¹, H. Engel¹, J. Fort², and V. Méndez³ — ¹Institut für Theoretische Physik, Technische Universität Berlin, Hardenbergstrasse 36, 10623 Berlin, Germany — ²Departament de Física, Universitat de Girona, Campus de Montilivi, 17071 Girona, Catalonia, Spain — ³Departament de Medicina, Universitat Internacional de Catalunya, c./Gomera s/n, 08190 Sant Cugat del Vallès, Barcelona, Spain

We consider traveling wave solutions with oscillatory tails in the one-dimensional, double diffusive Rinzel-Keller model which represents the piece-wise linear approximation of the cubic nonlinearity in the famous FitzHugh-Nagumo model for signal propagation in neural tissue. We prove the existence and the stability of those solutions in a certain range of the time scale ratio of the activator and the inhibitor as well as of the excitation threshold. Furthermore we discuss the dependence of the pulse velocity on these two parameters characterizing basic properties of the excitable medium.