Journal of Applied Mathematics and Stochastic Analysis
Volume 13 (2000), Issue 1, Pages 25-31
doi:10.1155/S1048953300000034
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 Grigori L. Kulinich and Svitlana V. Kushnirenko. 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.
Abstract
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.