Single fluxon dynamics in Nb-based Josephson junction stacks J. Zitzmann*, A.V. Ustinov, M. Levichev and S. Sakai Experiments on single-fluxon states in vertically stacked 5- and 10-junction Josephson rings are presented. We find that the current-voltage characteristic (CVC) of a fluxon moving in a stack is distinctly different from the conventional case of a fluxon in a long Josephson junction. Motion of the fluxon in the stack of junctions creates plasma waves via the Cherenkov mechanism. In the low damping regime at low temperatures, interaction of the fluxon with these waves leads to resonances in the CVC. We confirm observations made for two junction rings [1] also for multi-junction rings. Good qualitative agreement of the experimental results with simulation using the inductive coupling model is found. In the case of higher temperature and damping, resonant interaction does not occur and we observe an S-shaped CVC, i.e. a non-monotonic behavior of its derivative as suggested by our simulations. Depending on the layer in which the fluxon is placed, we also observe a negative differential resistance in the CVC. Simulations indicate that this is due to the creation of a fluxon-antifluxon pair in a neighbouring layer. [1] E. Goldobin et al., Phys. Rev. B 57, 130 (1998)