  We report a systematic study of transport properties of nanosytems with
charge density waves. We demonstrate, how the presence of density waves
modifies the current-voltage characteristics. On the other hand hand, we show
that the density waves themselves are strongly affected by the applied voltage.
This self-consistent problem is solved within the formalism of the
nonequilibrium Green functions. The conventional charge density waves occur
only for specific, periodically distributed ranges of the voltage. Apart from
the low voltage regime, they are incommensurate and the corresponding wave
vectors decrease discontinuously when the voltage increases.
