Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1415-1422
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A. I. Noarov. Numerical stabilization of the Lorenz system by a small external perturbation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 8, pp. 1415-1422. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a5/
@article{ZVMMF_2006_46_8_a5,
author = {A. I. Noarov},
title = {Numerical stabilization of the {Lorenz} system by a~small external perturbation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1415--1422},
year = {2006},
volume = {46},
number = {8},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a5/}
}
TY - JOUR
AU - A. I. Noarov
TI - Numerical stabilization of the Lorenz system by a small external perturbation
JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY - 2006
SP - 1415
EP - 1422
VL - 46
IS - 8
UR - http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a5/
LA - ru
ID - ZVMMF_2006_46_8_a5
ER -
%0 Journal Article
%A A. I. Noarov
%T Numerical stabilization of the Lorenz system by a small external perturbation
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2006
%P 1415-1422
%V 46
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_8_a5/
%G ru
%F ZVMMF_2006_46_8_a5
The Lorenz system perturbed by noise and its invariant measure whose density obeys the stationary Fokker–Planck equation are analyzed numerically. A linear functional of the invariant measure is considered, and its variation caused by a variation in the right-hand side of the Lorenz system is calculated. A small (in modulus) external perturbation is calculated under which the strange attractor of the Lorenz system degenerates into a stable fixed point.