Mass-dependent instability of an oscillator with additive and multiplicative random forces

@inproceedings{Gitterman2013MassdependentIO,
  title={Mass-dependent instability of an oscillator with additive and multiplicative random forces},
  author={Moshe Gitterman and David A. Kessler},
  year={2013}
}
We study the instability of a harmonic oscillator subject to additive and dichotomous multpicalive noise, focusing on the dependence of the instability threshold on the mass. For multiplicative noise in the damping, the energy instability threshold is crossed as the mass is decreased, as long as the smaller damping is in fact negative. For multiplicative noise in the stifness, the situation is more complicate and in fact the energy transition is reentrant for intermidiate noise strength and… CONTINUE READING