Specific features of the vortex dynamics in Josephson-coupled layered
superconductors are considered within tile time-dependent Ginzburg-Lan
dau theory. For a tilted vortex line consisting of 2D pancake vortices
connected by tile Josephson ones the equation of motion in the presen
ce of a transport current parallel to the layers is obtained. Frequenc
y dependence of the dynamic response of tilted vortices and nonlinear
effects in their motion are studied.