  Stationary states of overdamped anharmonic stochastic oscillators driven by
L\'evy noise are typically multimodal. The very same situation is recorded for
an underdamped L\'evy noise driven motion in single-well potentials with linear
friction. Within current manuscript we relax the assumption that the friction
experienced by a particle is linear. Using computer simulations, we study
underdamped motion in single-well potentials in the regime of nonlinear
friction. We demonstrate that it is relatively easy to observe multimodality in
the velocity distribution as it is determined by the friction itself and it is
the same as the multimodality in the overdamped case with the analogous
deterministic force. Contrary to the velocity marginal density, it is more
difficult to produce multimodality in the position. Nevertheless, for
fine-tuned nonlinear friction, the spatial multimodality can be recorded.
