Table of Contents
Journal of Applied Mathematics and Stochastic Analysis
Volume 13, Issue 1, Pages 25-31

On the stabilization of the energy of a harmonic oscillator disturbed by random processes of the “white and shot noises” types

Kyiv University, Mechanics and Mathematics Faculty, 64 Volodymyrska St., Kyiv 252033, Ukraine

Received 1 October 1998; Revised 1 May 1999

Copyright © 2000 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper the behavior of the instantaneous energy of a harmonic oscillator is investigated in the case when at a certain angle to the vector of the phase velocity of the oscillator, random disturbances of the “white and shot noises” types are acting.