Some Limit Theorems for Linear Oscillators with Noise in the Coefficients
Accelerator Physics
2016-09-08 v1 Classical Physics
Abstract
Some limit theorems are proven for the linear oscillator with random coefficients. The asymptotic behaviour of the moments is studied in detail. The technique presented in this paper can be applied to general linear systems with noise and is well suited for the investigation of stochastic beam dynamics in accelerators.
Cite
@article{arxiv.physics/0101090,
title = {Some Limit Theorems for Linear Oscillators with Noise in the Coefficients},
author = {V. Balandin and H. Mais},
journal= {arXiv preprint arXiv:physics/0101090},
year = {2016}
}
Comments
43 pages. Latex. No figures