Research topics are in the area of discrete breathers in coupled arrays (ladders) of Josephson junctions. This is a joint research project with the experimental group of Prof. A. Ustinov in Erlangen. The main problems are: obtaining breather solutions and their stability, study of transmission and reflecton of plasmons by breathers, in close cooperation with the experiments conducted at the University in Erlangen. Related research areas in Dresden are: general properties of localized excitations in dissipative media, breathers in spin lattices, quantum discrete breathers, effects of external ac driving.