Abstract: It is now experimentally possible to realize both a single channel as well as a two channel Kondo system in nanoscale structures, opening up the possibility of studying the nonequilibrium properties of these systems. After a brief review of the experiments, I will present theoretical results for the effect of current flow on a single channel Kondo system, and the effect of a sudden quench on a two channel Kondo system. For voltages smaller than the Kondo temperature, the single channel Kondo system shows behavior consistent with a weakly perturbed Fermi liquid. On the other hand what makes a two channel Kondo system interesting is that it is one of the simplest examples of a non-Fermi liquid. It will be shown how this non-Fermi liquid behavior affects the time evolution of the system after a quench.