Noisy oscillator: Random mass and random damping.

@article{Burov2016NoisyOR,
  title={Noisy oscillator: Random mass and random damping.},
  author={S. Burov and M. Gitterman},
  journal={Physical review. E},
  year={2016},
  volume={94 5-1},
  pages={
          052144
        }
}
The problem of a linear damped noisy oscillator is treated in the presence of two multiplicative sources of noise which imply a random mass and random damping. The additive noise and the noise in the damping are responsible for an influx of energy to the oscillator and its dissipation to the surrounding environment. A random mass implies that the surrounding molecules not only collide with the oscillator but may also adhere to it, thereby changing its mass. We present general formulas for the… Expand
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