English

Parametric instability of linear oscillators with colored time-dependent noise

Classical Physics 2016-09-08 v1 Disordered Systems and Neural Networks Mathematical Physics math.MP Computational Physics Quantum Physics

Abstract

The goal of this paper is to discuss the link between the quantum phenomenon of Anderson localization on the one hand, and the parametric instability of classical linear oscillators with stochastic frequency on the other. We show that these two problems are closely related to each other. On the base of analytical and numerical results we predict under which conditions colored parametric noise suppresses the instability of linear oscillators.

Keywords

Cite

@article{arxiv.physics/0403035,
  title  = {Parametric instability of linear oscillators with colored time-dependent noise},
  author = {F. M. Izrailev and V. Dossetti-Romero and A. A. Krokhin and L. Tessieri},
  journal= {arXiv preprint arXiv:physics/0403035},
  year   = {2016}
}

Comments

RevTex, 9 pages, no figures