  The rolling motion of a rigid cylinder on an inclined flat viscous surface is
investigated and the nonlinear resistance force against rolling, $F_R(v)$, is
derived. For small velocities $F_R(v)$ increases with velocity due to
increasing deformation rate of the surface material. For larger velocity it
decreases with velocity due to decreasing contact area between the rolling
cylinder and the deformed surface. The cylinder is, moreover, subjected to a
viscous drag force and stochastic fluctuations due to a surrounding medium
(air). For this system, in a wide range of parameters we observe bistability of
the rolling motion. Depending on the material parameters, increasing the noise
level may lead to increasing or decreasing average velocity.
