# Paradoxical Stabilization of Forced Oscillations by Strong Nonlinear Friction

## TL;DR

This paper demonstrates that strong nonlinear friction can paradoxically stabilize forced oscillations by counteracting the ponderomotive force, leading to a stable oscillation state.

## Contribution

It reveals a novel stabilization mechanism where nonlinear friction stabilizes oscillations against inhomogeneity-induced forces.

## Key findings

- Strong nonlinear friction creates a stabilizing tug opposite to the ponderomotive force.
- Friction can stabilize oscillations near amplitude maxima.
- The stabilization occurs when friction-induced force exceeds the ponderomotive force.

## Abstract

In a dissipative dynamic system driven by an oscillating force, a strong nonlinear highly oscillatory friction force can create a quasi-steady tug, which is always directed opposite to the ponderomotive force induced due to a spatial inhomogeneity of oscillations. When the friction-induced tug exceeds the ponderomotive force, the friction stabilizes the system oscillations near the maxima of the oscillation spatial amplitude.