Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 85-92
Citer cet article
N. I. Mikhailov. Peculiarities of the trajectories of an oscillator excited by a stationary random force. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 85-92. http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a20/
@article{VMUMM_1982_3_a20,
author = {N. I. Mikhailov},
title = {Peculiarities of the trajectories of an oscillator excited by a stationary random force},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {85--92},
year = {1982},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a20/}
}
TY - JOUR
AU - N. I. Mikhailov
TI - Peculiarities of the trajectories of an oscillator excited by a stationary random force
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 85
EP - 92
IS - 3
UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a20/
LA - ru
ID - VMUMM_1982_3_a20
ER -
%0 Journal Article
%A N. I. Mikhailov
%T Peculiarities of the trajectories of an oscillator excited by a stationary random force
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 85-92
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a20/
%G ru
%F VMUMM_1982_3_a20
Let a linear oscillator be affected by a Gaussian stationary process with $$ \int_0^\infty t|R(t)|\,dt<\infty, $$ where $R(t)$ is its correlation function. Then almost for sure the amplitude becomes, first, arbitrarily large and, then, arbitrarily small.
