|
joint work with M. Or-Guil (HU Berlin), N. Alexeeva (Capetown)
Classical excitable systems such as the FitzHugh-Nagumo model as well as many experimental systems show normal dispersion and repulsive interactions of pulses. Recent experiments in the catalytic NO + CO reaction and a modified Belousov-Zhabotinsky system display, in contrast, anomalous dispersion and attractive interactions between pulses. Periodic pulse trains in the anomalous dispersion regime are unstable and show complex dynamics including stacking, merging and tracking. Using a modified FitzHugh-Nagumo model as well as a realistic model of the NO + CO reaction, we obtain anomalous dispersion and the related different dynamical phenomena. Beyond numerical simulations, we employ continuation and bifurcation techniques to explain the different phenomena. In particular, pulse stacking can be associated with the formation of stable bound pairs. |
|